https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/finding-ratios-for-4x-and-6x-of-angles 2025-03-24T05:52:22.847271672Z 4x तथा 6x कोणो के लिए अनुपातों को ज्ञात करना (Finding ratios for 4x and 6x of angles) We've derived double and triple angle formulae in our previous videos. In this video, we look at the strategy that helps us build on top of previously derived formulae. We use it to figure what the formulae for tan(4x) and cos(6x). Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 4x तथा 6x कोणो के लिए अनुपातों को ज्ञात करना (Finding ratios for 4x and 6x of angles) We've derived double and triple angle formulae in our previous videos. In this video, we look at the strategy that helps us build on top of previously derived formulae. We use it to figure what the formulae for tan(4x) and cos(6x). https://cdn.kastatic.org/ka-youtube-converted/yil5hyJg3_k.mp4/yil5hyJg3_k.mp4 377 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:trigonometry-and-complex-numbers/x09646558c1ff0797:trigonometry/v/trigonometry-identity-review-fun 2025-02-03T14:16:00.002891013Z त्रिकोणमितीय कोण योग सर्वसमिकाएँ​ (Trig angle addition identities) Sal reviews 6 related trigonometric angle addition identities: sin(a+b), sin(a-c), cos(a+b), cos(a-b), cos(2a), and sin(2a). Sal Khan video https://cdn.kastatic.org/googleusercontent/q779WlSevH6c0FCkG6uJcgjnP-3oXG6igoQNkUMmaUC_iYs2ef5ZtpHgGVMziteKMOmz7gjlpqZzF16rq8z2hxo त्रिकोणमितीय कोण योग सर्वसमिकाएँ​ (Trig angle addition identities) Sal reviews 6 related trigonometric angle addition identities: sin(a+b), sin(a-c), cos(a+b), cos(a-b), cos(2a), and sin(2a). https://cdn.kastatic.org/ka-youtube-converted/5iyadNWh8yQ.mp4/5iyadNWh8yQ.mp4 667 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/cosine-addition-identity-example 2020-07-02T21:56:05Z Cosine का कोण योग सर्वसमिका का उपयोग (Using the cosine angle addition identity) Sal evaluates the cosine of the sum of 60° and another angle whose right triangle is given. To do this, he must use the cosine angle addition formula. Sal Khan video https://cdn.kastatic.org/googleusercontent/OirHRBIT_x63S6CU99h-fPyl2X_hDf7HZAM9tO9PaiIgSfaay7XSpcxQW-xYIn2jLljKXyz0qnd0vzmSZ1J7HWFVGA Cosine का कोण योग सर्वसमिका का उपयोग (Using the cosine angle addition identity) Sal evaluates the cosine of the sum of 60° and another angle whose right triangle is given. To do this, he must use the cosine angle addition formula. https://cdn.kastatic.org/ka-youtube-converted/cyBvYFUJpQ0.mp4/cyBvYFUJpQ0.mp4 314 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:trigonometry-and-complex-numbers/x09646558c1ff0797:trigonometry/e/trigonometric-functions-of-sum-and-difference-of-angles 2025-03-24T05:52:22.847271672Z कोणों के योग और अंतर का त्रिकोणमितीय फलन सर्वसमिका (identitity) sin(x+y), cos(x+y) आदि का प्रयोग करके अभ्यास करें| exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/proof-angle-addition-sine 2021-02-15T05:25:15Z sine की कोण योग सर्वसमिका की उपपत्ति (Proof of the sine angle addition identity) Sal proves the identity sin(x+y) = sin(x)*cos(y) + cos(x)*sin(y). Sal Khan video https://cdn.kastatic.org/googleusercontent/egZR3z6x8IGAPeU5EAdzsvyL4RnjWigy9B_OnXbOh9W2mw3jSIKSig9uvNCMNyx0M0UpGJrLARgaoIfUhhq7fZI sine की कोण योग सर्वसमिका की उपपत्ति (Proof of the sine angle addition identity) Sal proves the identity sin(x+y) = sin(x)*cos(y) + cos(x)*sin(y). https://cdn.kastatic.org/ka-youtube-converted/GGcvrlXfcKU.mp4/GGcvrlXfcKU.mp4 506 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/proof-angle-addition-cosine 2020-07-02T21:56:05Z cosine की कोण योग सर्वसमिका की उपपत्ति (Proof of the cosine angle addition identity) Sal proves the identity cos(x+y) = cos(x)*cos(y) - sin(x)*sin(y). Sal Khan video https://cdn.kastatic.org/googleusercontent/FasP1nWHi_ADiQthXb5kLHxdJw2ww_abdrkLF2zuHo7X1r1TOAfd37BLg1JOjGdEEn4-K8Bde1hl2aYF_vZzn6Zb cosine की कोण योग सर्वसमिका की उपपत्ति (Proof of the cosine angle addition identity) Sal proves the identity cos(x+y) = cos(x)*cos(y) - sin(x)*sin(y). https://cdn.kastatic.org/ka-youtube-converted/O7eo_dLQQVA.mp4/O7eo_dLQQVA.mp4 362 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/trigonometry-unit-circle-symmetry 2024-04-10T02:37:05.392777602Z Sine और Cosine सर्वसमिकाएँ:सममिति​ (Sine & cosine identities: symmetry) Sal finds several trigonometric identities for sine and cosine by considering horizontal and vertical symmetries of the unit circle. Sal Khan video https://cdn.kastatic.org/googleusercontent/hX3WT_E5jPWwlXRobWPxGJq4OYInNRchN78MjUoOWRLZ23yRk-N961XQLvHLPtx2NymQIUgGR3tt9gH8UrMZy3qZQA Sine और Cosine सर्वसमिकाएँ:सममिति​ (Sine & cosine identities: symmetry) Sal finds several trigonometric identities for sine and cosine by considering horizontal and vertical symmetries of the unit circle. https://cdn.kastatic.org/ka-youtube-converted/UttjyXwr-RM.mp4/UttjyXwr-RM.mp4 478 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/tan-symmetries-unit-circle 2021-02-15T05:25:15Z Tangent सर्वसमिकाएँ : सममिति (Tangent identities: symmetry) Sal finds several trigonometric identities for tangent by considering horizontal and vertical symmetries of the unit circle. Sal Khan video https://cdn.kastatic.org/googleusercontent/aJtG2MsWehGm34mtnN3fAUg8BPOp0PGeiziyIRmQaK4Ebf6XpWlPiE20cqN1fkmi3chWHluIhcbuH_MBKkj_7IrQ Tangent सर्वसमिकाएँ : सममिति (Tangent identities: symmetry) Sal finds several trigonometric identities for tangent by considering horizontal and vertical symmetries of the unit circle. https://cdn.kastatic.org/ka-youtube-converted/ucpNxVz7W7M.mp4/ucpNxVz7W7M.mp4 435 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:graphs-of-trigonometric-functions/v/trig-angle-rotations 2020-08-13T10:51:20Z Sine और Cosine सर्वसमिकाएँ : आवर्तिता (Sine & cosine identities: periodicity) Sal finds trigonometric identities for sine and cosine by considering angle rotations on the unit circle. Sal Khan video https://cdn.kastatic.org/googleusercontent/8R9ptji40BAkC_jOzCeGm6Fcnoe-QabEA_HoLfqCyjc0pTzHeTD_nCa92YdE8v1RV1B176jw6mZzX53nxrTkLjqx Sine और Cosine सर्वसमिकाएँ : आवर्तिता (Sine & cosine identities: periodicity) Sal finds trigonometric identities for sine and cosine by considering angle rotations on the unit circle. https://cdn.kastatic.org/ka-youtube-converted/7Sda8wxUqd4.mp4/7Sda8wxUqd4.mp4 373 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/tan-periodicity 2020-08-13T10:51:20Z Tangent सर्वसमिकाएँ : आवर्तिता​ (Tangent identities: periodicity) Sal solves a problem by considering the periodicity of the tangent function. Sal Khan video https://cdn.kastatic.org/googleusercontent/5syk7G_FmY-hYDAt88Z5TlQSkzxwSrnumrebAKIXOM2UegBtXO_8qFabPmW7WxnYvRCzlPDcYN8JgVexBKAcx5c Tangent सर्वसमिकाएँ : आवर्तिता​ (Tangent identities: periodicity) Sal solves a problem by considering the periodicity of the tangent function. https://cdn.kastatic.org/ka-youtube-converted/vN9SYfpuPlk.mp4/vN9SYfpuPlk.mp4 242 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/double-angle-formula-for-cosine-example-c 2025-02-03T14:16:00.002891013Z Cosine की दोगुना कोण सर्वसमिका का उपयोग(Using the cosine double-angle identity) The cosine double angle formula tells us that cos(2θ) is always equal to cos²θ-sin²θ. For example, cos(60) is equal to cos²(30)-sin²(30). We can use this identity to rewrite expressions or solve problems. See some examples in this video. Sal Khan video https://cdn.kastatic.org/googleusercontent/152bMm2bPz9qxWTKf3kD6x5ejlJKR-tLzP7uUkfHeN7OOT9OJRqTPVW19HlJJNGXMZ8DK5MLDrNHrPU91DCpPMs Cosine की दोगुना कोण सर्वसमिका का उपयोग(Using the cosine double-angle identity) The cosine double angle formula tells us that cos(2θ) is always equal to cos²θ-sin²θ. For example, cos(60) is equal to cos²(30)-sin²(30). We can use this identity to rewrite expressions or solve problems. See some examples in this video. https://cdn.kastatic.org/ka-youtube-converted/rta8siogfW4.mp4/rta8siogfW4.mp4 208 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/v/cosine-angle-addition-2 2020-08-13T10:51:20Z त्रिकोणमितीय जटिल प्रश्न : Cosine का कोण योग ​ (Trig challenge problem: cosine of angle-sum) Sal is given cos(θ) and cos(φ) and he finds cos(θ+φ). To do that, he must first find sin(θ) and sin(φ) using the Pythagorean identity. Sal Khan video https://cdn.kastatic.org/googleusercontent/gt-svavuQuwt7iAWDnZV6UyGzNNMvbw25U-cxH5Gi0mS_GlRFN35JIfd91yrzf9VquOEKamykMfIkpy0E3aQpVrckA त्रिकोणमितीय जटिल प्रश्न : Cosine का कोण योग ​ (Trig challenge problem: cosine of angle-sum) Sal is given cos(θ) and cos(φ) and he finds cos(θ+φ). To do that, he must first find sin(θ) and sin(φ) using the Pythagorean identity. https://cdn.kastatic.org/ka-youtube-converted/QV19me54Wcg.mp4/QV19me54Wcg.mp4 434 दो कोणों के योगफल एवं अंतर का त्रिकोणमितीय फलन (Trigonometric functions of sum and difference of two angles) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/e/sum-and-difference-of-trigonometric-functions 2026-04-08T08:46:38.570038857Z त्रिकोणमितीय फलनों (trigonometric functions) का योग और अंतर 4 सर्वसमिकाओं (identities) - cos x + cos y, cos x - cos y, sin x + sin y, sin x - sin y के संबंध में विद्यार्थियों का स्मृति परीक्षण| exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:trigonometric-functions-of-sum-and-difference-of-two-angles/e/evaluate-trigonometric-expressions-intermediate 2025-03-24T05:52:22.847271672Z त्रिकोणमितीय व्यंजकों (trigonometric expressions) का मान ज्ञात करना (मध्यम स्तर) दिए गए व्यंजकों को अलग-अलग सर्वसमिकाओं (identities) का उपयोग करके सरल सूत्र में परिवर्तित करें। exercise