https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:applying-trigonometric-properties/v/strategy-for-finding-half-angle-ratios 2025-06-25T04:36:24.163902917Z अर्ध कोण अनुपातों को ज्ञात करने का तरीका In this video, we'll look at strategies to find half angle trigonometric ratios using the same identities that we use to find double angle ratios. We do things in reverse! Some of these identities are easier to deal with while some aren't. We'll look at these strategies in detail while solving for tan(pi/8). Once we have the value, we'll form a right angled triangle to get to the remaining ratios. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw अर्ध कोण अनुपातों को ज्ञात करने का तरीका In this video, we'll look at strategies to find half angle trigonometric ratios using the same identities that we use to find double angle ratios. We do things in reverse! Some of these identities are easier to deal with while some aren't. We'll look at these strategies in detail while solving for tan(pi/8). Once we have the value, we'll form a right angled triangle to get to the remaining ratios. https://cdn.kastatic.org/ka-youtube-converted/A9snBfka8hA.mp4/A9snBfka8hA.mp4 467 त्रिकोणमितीय गुणधर्म लगाना https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:applying-trigonometric-properties/v/half-angle-ratios-constraint-on-quadrant 2025-06-25T04:36:24.163902917Z चतुर्थांश पर प्रतिबंध दिए जाने पर सभी अर्ध कोण अनुपात ज्ञात करना In this video, we're given that sin(x) = 1/4 and x is in the second quadrant. We use identities to form and solve quadratic equations to get the half angle ratios. We get 2 solutions out of which only one makes sense. We discuss why the other solution doesn't work. Once we have the value of tan(x/2), we form a right angled triangle to get the remaining ratios. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw चतुर्थांश पर प्रतिबंध दिए जाने पर सभी अर्ध कोण अनुपात ज्ञात करना In this video, we're given that sin(x) = 1/4 and x is in the second quadrant. We use identities to form and solve quadratic equations to get the half angle ratios. We get 2 solutions out of which only one makes sense. We discuss why the other solution doesn't work. Once we have the value of tan(x/2), we form a right angled triangle to get the remaining ratios. https://cdn.kastatic.org/ka-youtube-converted/Mva_rH3QiMs.mp4/Mva_rH3QiMs.mp4 368 त्रिकोणमितीय गुणधर्म लगाना https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:applying-trigonometric-properties/v/value-of-expressions-by-angle-addition-properties 2025-06-25T04:36:24.163902917Z Finding the value of expressions using angle addition properties In this video, we solve three problems on finding the value of an expression using angle addition identities. We develop strategies that involve consolidation of terms after grouping them by observing patterns. These problems require applying multiple identities to arrive at the final answer. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Finding the value of expressions using angle addition properties In this video, we solve three problems on finding the value of an expression using angle addition identities. We develop strategies that involve consolidation of terms after grouping them by observing patterns. These problems require applying multiple identities to arrive at the final answer. https://cdn.kastatic.org/ka-youtube-converted/a0VsE4oKlv8.mp4/a0VsE4oKlv8.mp4 450 त्रिकोणमितीय गुणधर्म लगाना https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:applying-trigonometric-properties/v/eq-sums-and-prod-by-angle-addition-properties 2025-06-25T04:36:24.163902917Z कोण योग गुणधर्मों का उपयोग करके योग और गुणनफल को समान करना In this video, we solve three problems on proving statements involving sums and products of trigonometric ratios. We do this using angle addition identities and double angle identities. The key step in solving problems like these is identifying the right ratios to group together. We discuss strategies and tips that help identify these groups. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw कोण योग गुणधर्मों का उपयोग करके योग और गुणनफल को समान करना In this video, we solve three problems on proving statements involving sums and products of trigonometric ratios. We do this using angle addition identities and double angle identities. The key step in solving problems like these is identifying the right ratios to group together. We discuss strategies and tips that help identify these groups. https://cdn.kastatic.org/ka-youtube-converted/hvN-C4m8YzU.mp4/hvN-C4m8YzU.mp4 571 त्रिकोणमितीय गुणधर्म लगाना https://hi.khanacademy.org/math/up-math-class-11/x808831787a7b08a2:trigonometric-functions-ncert-new/x808831787a7b08a2:applying-trigonometric-properties/e/trigonometric-transformations-mastering-multiple-angle-identities 2025-06-25T04:36:24.163902917Z त्रिकोणमितीय रूपांतरण: बहुकोणीय सर्वसमिकाओं में निपुणता (Trigonometric Transformations: Mastering Multiple Angle Identities) त्रिकोणमितीय रूपांतरण: बहुकोणीय सर्वसमिकाओं में निपुणता (Trigonometric Transformations: Mastering Multiple Angle Identities) Ashish Gupta exercise