https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:trigonometry-and-complex-numbers/x09646558c1ff0797:trigonometry/v/trigonometric-ratios-for-common-angles 2025-03-24T05:52:22.847271672Z कुछ सामान्य कोणों के लिए त्रिकोणमितीय अनुपात In this video, we look at the trigonometric rations (sin, cos, and tan) for some common angles. We first define the trigonometric ratios as the coordinates of points on the unit circle. First we look at the multiples of pi/2. We then use geometry (right angled triangles and equilateral triangles) to find the coordinates for some other common angles - pi/4, pi/3, and pi/6. Finally, we generate the table for sin, cos, and tan for these angles. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw कुछ सामान्य कोणों के लिए त्रिकोणमितीय अनुपात In this video, we look at the trigonometric rations (sin, cos, and tan) for some common angles. We first define the trigonometric ratios as the coordinates of points on the unit circle. First we look at the multiples of pi/2. We then use geometry (right angled triangles and equilateral triangles) to find the coordinates for some other common angles - pi/4, pi/3, and pi/6. Finally, we generate the table for sin, cos, and tan for these angles. https://cdn.kastatic.org/ka-youtube-converted/yTKz8aewCqk.mp4/yTKz8aewCqk.mp4 610 इकाई वृत्त https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:trigonometry-and-complex-numbers/x09646558c1ff0797:trigonometry/v/sign-of-trigonometric-functions 2025-03-24T05:52:22.847271672Z त्रिकोणमितीय फलनों के चिन्ह In this video, we learn how to figure out the signs of trigonometric functions using the unit circle. We first figure out where cos, sin, and tan are positive and negative using the coordinates of the points representing the angles. We then practice this skill by solving some problems. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw त्रिकोणमितीय फलनों के चिन्ह In this video, we learn how to figure out the signs of trigonometric functions using the unit circle. We first figure out where cos, sin, and tan are positive and negative using the coordinates of the points representing the angles. We then practice this skill by solving some problems. https://cdn.kastatic.org/ka-youtube-converted/7vFjMeVLpgA.mp4/7vFjMeVLpgA.mp4 409 इकाई वृत्त https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:the-unit-circle/v/using-the-unit-circle-to-find-ratios-of-common-angles 2025-03-24T05:52:22.847271672Z इकाई वृत्त का उपयोग करके मान ज्ञात करना) We've learnt how to find the trigonometric ratios for some common angles like pi/3, pi/4, and pi/6. In this video, we'll move beyond the first quadrant to get 9 more points on the unit circle. Using symmetry, we'll find the coordinates of these points which will help us figure out the cos and sin of these angles. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw इकाई वृत्त का उपयोग करके मान ज्ञात करना) We've learnt how to find the trigonometric ratios for some common angles like pi/3, pi/4, and pi/6. In this video, we'll move beyond the first quadrant to get 9 more points on the unit circle. Using symmetry, we'll find the coordinates of these points which will help us figure out the cos and sin of these angles. https://cdn.kastatic.org/ka-youtube-converted/d8PF0Xlbf2k.mp4/d8PF0Xlbf2k.mp4 397 इकाई वृत्त https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:the-unit-circle/v/adding-subtracting-from-multiples-of-pi-2 2025-03-24T05:52:22.847271672Z 𝜋/2 के गुणज से जोड़ना और घटाना We've learnt how to find trigonometric ratios for some common angles across all quadrants. We expand on this concept by generalising the learnings and applying them on a random point in the first quadrant. We first look at adding and subtracting from multiples of pi and then observe what happens if we do the same for multiples of pi/2. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw 𝜋/2 के गुणज से जोड़ना और घटाना We've learnt how to find trigonometric ratios for some common angles across all quadrants. We expand on this concept by generalising the learnings and applying them on a random point in the first quadrant. We first look at adding and subtracting from multiples of pi and then observe what happens if we do the same for multiples of pi/2. https://cdn.kastatic.org/ka-youtube-converted/AHf_A3rRzno.mp4/AHf_A3rRzno.mp4 550 इकाई वृत्त https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:trigonometry-and-complex-numbers/x09646558c1ff0797:trigonometry/v/finding-other-five-ratios 2025-03-24T05:52:22.847271672Z अन्य पाँच अनुपात ज्ञात करना In this video, we'll learn how to find the remaining trigonometric ratios when one of them is given along with some information on where the angle is (in which quadrant). We first analyse the triangle that the angle is forming, then place it on the unit circle, and finally, after figuring out exactly where the angle is on the circle, we use the coordinates of the corresponding point on the circle to get the remaining ratios. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw अन्य पाँच अनुपात ज्ञात करना In this video, we'll learn how to find the remaining trigonometric ratios when one of them is given along with some information on where the angle is (in which quadrant). We first analyse the triangle that the angle is forming, then place it on the unit circle, and finally, after figuring out exactly where the angle is on the circle, we use the coordinates of the corresponding point on the circle to get the remaining ratios. https://cdn.kastatic.org/ka-youtube-converted/-UnRPb_wSDo.mp4/-UnRPb_wSDo.mp4 423 इकाई वृत्त https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:trigonometry-and-complex-numbers/x09646558c1ff0797:trigonometry/v/using-the-unit-circle-to-find-tan-17pi-6 2025-03-24T05:52:22.847271672Z इकाई वृत्त का प्रयोग करके tan(17pi/6) का मान ज्ञात करना In this video, we solve some problems where we find values of trigonometric functions for given angles using the unit circle. We first find sin(765 degrees), then tan(19pi/3) and finally look at tan(17pi/6). For the last problem, we try three different methods. We solve it using multiples of pi, pi/2, and also plugging values in the formulae. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw इकाई वृत्त का प्रयोग करके tan(17pi/6) का मान ज्ञात करना In this video, we solve some problems where we find values of trigonometric functions for given angles using the unit circle. We first find sin(765 degrees), then tan(19pi/3) and finally look at tan(17pi/6). For the last problem, we try three different methods. We solve it using multiples of pi, pi/2, and also plugging values in the formulae. https://cdn.kastatic.org/ka-youtube-converted/J_OFm3HtbWs.mp4/J_OFm3HtbWs.mp4 426 इकाई वृत्त https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:the-unit-circle/e/plotting-angles-on-unit-circle 2026-04-08T08:46:38.570038857Z इकाई वृत्त पर कोण आलेखित करना इकाई वृत्त (unit circle) पर दिए गए कोण (angle) की स्थिति ज्ञात करना। exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:the-unit-circle/e/unit-circle-with-radians 2025-03-24T05:52:22.847271672Z इकाई वृत्त (रेडियन सहित) sine और cosine की इकाई वृत्त (unit circle) परिभाषा के साथ प्रश्नों का अभ्यास करें किन्तु इस बार डिग्री की जगह रेडियन लें | Tomer Gal exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:the-unit-circle/v/matching-ratios-trig-functions 2020-11-13T15:17:42Z त्रिकोणमितीय फलन ​और ​समकोण त्रिभुज त्रिकोणमितीय अनुपात​(The trig functions & right triangle trig ratios) Sal shows how, for acute angles, the two different definitions of the trigonometric values (SOH CAH TOA and the unit circle definition) result in the same values. Sal Khan video https://cdn.kastatic.org/googleusercontent/c0UdQAIw0Z9Y4urOKTHbmOHKFTJHkq7hOgH3dDSYlUf2TnGutCehCIcgi4p5iBxnlOEdinR2IhzIwUgqGyl3NnBy त्रिकोणमितीय फलन ​और ​समकोण त्रिभुज त्रिकोणमितीय अनुपात​(The trig functions & right triangle trig ratios) Sal shows how, for acute angles, the two different definitions of the trigonometric values (SOH CAH TOA and the unit circle definition) result in the same values. https://cdn.kastatic.org/ka-youtube-converted/7Hidy7xzTCM.mp4/7Hidy7xzTCM.mp4 417 इकाई वृत्त https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:the-unit-circle/v/solving-triangle-unit-circle 2025-02-03T14:16:00.002891013Z π/4 का त्रिकोणमितीय मान(Trig values of π/4) Sal finds the trigonometric values of π/4 using the unit-circle definition. Sal Khan video https://cdn.kastatic.org/googleusercontent/KR3yVel6ABULTaZmJ3T74ecv_lm4WfLV40v28QuXhprHX--TwL20KNi2dDhmMqdpBDQSOSUYfmOrcu8AasFsTJKmpg π/4 का त्रिकोणमितीय मान(Trig values of π/4) Sal finds the trigonometric values of π/4 using the unit-circle definition. https://cdn.kastatic.org/ka-youtube-converted/RH3wns5D0pM.mp4/RH3wns5D0pM.mp4 474 इकाई वृत्त https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:trigonometry-and-complex-numbers/x09646558c1ff0797:trigonometry/e/trigonometric-functions-of-special-angles 2025-03-24T05:52:22.847271672Z विशिष्ट कोणों के त्रिकोणमितीय मान (Trig values of special angles) विशिष्ट कोणों के लिए sine और cosine ज्ञात करना, यह ऐसे कोण हैं जिनका त्रिकोणमितीय मान (trig values) हम कैलकुलेटर का उपयोग किए बिना ज्ञात कर सकते हैं। Sulinya Ramanan exercise https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:the-unit-circle/e/sign-of-trigonometric-functions 2026-04-08T08:46:38.570038857Z त्रिकोणमितीय फलनों के चिन्ह दिए गए कोण (angle) या चतुर्थांश (quadrant) के लिए sin, cos और tan के चिन्ह ज्ञात करना। exercise https://hi.khanacademy.org/math/class-12-bridge/x09646558c1ff0797:trigonometry-and-complex-numbers/x09646558c1ff0797:trigonometry/e/find-value-of-other-trigonometric-functions-from-given-trigonometric-function 2025-03-24T05:52:22.847271672Z दिए गए त्रिकोणमितीय फलन (trigonometric function) से अन्य त्रिकोणमितीय फलनों का मान ज्ञात करना NCERT के प्रश्नों की तरह ही कोण का एक फलन और चतुर्थांश दिया गया है हमे अन्य फलन का मान ज्ञात करना है। exercise