https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:limits-and-derivatives-ncert-new/x808831787a7b08a2:limits-of-trigonometric-functions/v/limits-of-trigonometric-functions 2025-01-06T10:18:43.365910625Z त्रिकोणमितीय फलनों की सीमाएँ (Limits of trigonometric functions) This video covers limits of trigonometric functions, focusing on sine, cosine, and tangent. It emphasizes that sine and cosine are continuous and defined for all real numbers, so their limits can be found using direct substitution. For tangent and cotangent, limits depend on whether the point is in their domain. video https://cdn.kastatic.org/ka_thumbnails_cache/44e567a3-14b4-4665-ac9e-0d6167f8a012_1280_720_base.png त्रिकोणमितीय फलनों की सीमाएँ (Limits of trigonometric functions) This video covers limits of trigonometric functions, focusing on sine, cosine, and tangent. It emphasizes that sine and cosine are continuous and defined for all real numbers, so their limits can be found using direct substitution. For tangent and cotangent, limits depend on whether the point is in their domain. https://cdn.kastatic.org/ka-youtube-converted/3FSIoHi7T-A.mp4/3FSIoHi7T-A.mp4 366 त्रिकोणमितीय फलनों की सीमाएँ (Limits of trigonometric functions) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:limits-and-derivatives-ncert-new/x808831787a7b08a2:limits-of-trigonometric-functions/v/limit-of-trigonometric-functions 2025-06-25T04:36:24.163902917Z त्रिकोणमितीय फलनों की सीमाएँ In this video, we'll solve a series of problems that involve finding limits of trigonometric functions. We'll first look at finding limits of ratios of trigonometric functions (sin/sin). We then solve problems that involve substitution and trigonometric identities. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw त्रिकोणमितीय फलनों की सीमाएँ In this video, we'll solve a series of problems that involve finding limits of trigonometric functions. We'll first look at finding limits of ratios of trigonometric functions (sin/sin). We then solve problems that involve substitution and trigonometric identities. https://cdn.kastatic.org/ka-youtube-converted/Do-yzqpgLM0.mp4/Do-yzqpgLM0.mp4 525 त्रिकोणमितीय फलनों की सीमाएँ (Limits of trigonometric functions) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:limits-and-derivatives-ncert-new/x808831787a7b08a2:limits-of-trigonometric-functions/e/determining-trigonometric-limits 2025-04-09T10:40:17.096567662Z त्रिकोणमितीय फलनों की सीमाएँ (Limits of trigonometric functions) दिए गए मानों पर त्रिकोणमितीय फलनों की सीमाएँ ज्ञात करें। Tomer Gal exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:limits-and-derivatives-ncert-new/x808831787a7b08a2:limits-of-trigonometric-functions/v/squeeze-sandwich-theorem 2025-01-06T10:18:43.365910625Z स्क्वीज़ प्रमेय का परिचय (Squeeze theorem intro) The squeeze (or sandwich) theorem states that if f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. We can use the theorem to find tricky limits like sin(x)/x at x=0, by "squeezing" sin(x)/x between two nicer functions and ​using them to find the limit at x=0. Sal Khan video https://cdn.kastatic.org/googleusercontent/G0rQ_8hX_C-zwc7sPVnCxTD1hn3dyjwhQeD1n5HJfVc688cr5iCld193WSQJUznZFe7VClwzmPyGQv_lz5d5r5IQ स्क्वीज़ प्रमेय का परिचय (Squeeze theorem intro) The squeeze (or sandwich) theorem states that if f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. We can use the theorem to find tricky limits like sin(x)/x at x=0, by "squeezing" sin(x)/x between two nicer functions and ​using them to find the limit at x=0. https://cdn.kastatic.org/ka-youtube-converted/EjB8ZM-fiHU.mp4/EjB8ZM-fiHU.mp4 431 त्रिकोणमितीय फलनों की सीमाएँ (Limits of trigonometric functions) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:limits-and-derivatives-ncert-new/x808831787a7b08a2:limits-of-trigonometric-functions/e/squeeze-theorem 2025-04-09T10:40:17.096567662Z सैंडविच प्रमेय (Squeeze theorem) सैंडविच प्रमेय के अभ्यास के लिए प्रश्न Tomer Gal exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:limits-and-derivatives-ncert-new/x808831787a7b08a2:limits-of-trigonometric-functions/v/sinx-over-x-as-x-approaches-0 2025-01-06T10:18:43.365910625Z सीमा sin(x)/x जब x, 0 की ओर अग्रसित है (Limit of sin(x)/x as x approaches 0) In this video, we prove that the limit of sin(θ)/θ as θ approaches 0 is equal to 1. We use a geometric construction involving a unit circle, triangles, and trigonometric functions. By comparing the areas of these triangles and applying the squeeze theorem, we demonstrate that the limit is indeed 1. This proof helps clarify a fundamental concept in calculus. video https://cdn.kastatic.org/ka_thumbnails_cache/e2078fcb-1f39-4217-8053-927effb87a0a_1280_720_base.png सीमा sin(x)/x जब x, 0 की ओर अग्रसित है (Limit of sin(x)/x as x approaches 0) In this video, we prove that the limit of sin(θ)/θ as θ approaches 0 is equal to 1. We use a geometric construction involving a unit circle, triangles, and trigonometric functions. By comparing the areas of these triangles and applying the squeeze theorem, we demonstrate that the limit is indeed 1. This proof helps clarify a fundamental concept in calculus. https://cdn.kastatic.org/ka-youtube-converted/C2NroqOn1j8.mp4/C2NroqOn1j8.mp4 556 त्रिकोणमितीय फलनों की सीमाएँ (Limits of trigonometric functions) https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:limits-and-derivatives-ncert-new/x808831787a7b08a2:limits-of-trigonometric-functions/v/1-cosx-over-x-as-x-approaches-0 2025-01-07T14:22:35.748578099Z (1-cos(x))/x की सीमा जब x, 0 की ओर अग्रसित करता है (Limit of (1-cos(x))/x as x approaches 0) In this video, we explore the limit of (1-cos(x))/x as x approaches 0 and show that it equals 0. We use the Pythagorean trigonometric identity, algebraic manipulation, and the known limit of sin(x)/x as x approaches 0 to prove this result. This concept is helpful for understanding the derivative of sin(x). video https://cdn.kastatic.org/ka_thumbnails_cache/d16610b8-ad7b-498b-9c47-a0fcf1567f8e_1280_720_base.png (1-cos(x))/x की सीमा जब x, 0 की ओर अग्रसित करता है (Limit of (1-cos(x))/x as x approaches 0) In this video, we explore the limit of (1-cos(x))/x as x approaches 0 and show that it equals 0. We use the Pythagorean trigonometric identity, algebraic manipulation, and the known limit of sin(x)/x as x approaches 0 to prove this result. This concept is helpful for understanding the derivative of sin(x). https://cdn.kastatic.org/ka-youtube-converted/q7s7X8C_27c.mp4/q7s7X8C_27c.mp4 245 त्रिकोणमितीय फलनों की सीमाएँ (Limits of trigonometric functions)