Web17 mei 2024 · Leibnitz theoremIn this video we have question solve for nth detivative of sin inverse xso that we can prove(1 – x2)yn+2 – (2n + 1)xyn+1 – n2yn = 0.link for ... WebBest answer Let sin–1x = α, sin–1y = β, sin–1z = γ. Then x = sinα, y = sinβ, z = sinγ => sin–1x + sin–1y + sin–1z = π/2 => sin–1x + sin–1y = (π/2) - sin–1z => α + β = (π/2) - γ => cos (α + β) = cos { (π/2) - γ} => cosα.cosβ - sinα.sinβ = sinγ => √ (1-sin2α.√ (1-sin2β) - sinα.sinβ = sinγ => √ (1-x2)√ (1-y2) - xy = z => √ (1-x2)√ (1-y2) = xy + z
If sin-1 x + sin-1y + sin-1 z = (3 π/2) then the value of x100
Web22 mrt. 2024 · Question 36 If tan−1 x = y, then: (a) −1 < y < 1 (b) (−𝜋)/2 ≤ y ≤ 𝜋/2 (c) (−𝜋)/2 < y < 𝜋/2 (d) y ∈ {(−𝜋)/2,𝜋/2}y = tan−1 x We know that tan x is not defined at x = (−𝜋)/2, and x = 𝜋/2 … Web30 mrt. 2024 · Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, … fahéjas alma dzsem
trigonometry - If $(\sin^{-1}x)^3 + (\sin^{-1}y)^3 + 3\sin^{-1}x\sin ...
WebIf sin −1x=tan −1y then prove that x 21 − y 21 =1. Easy Solution Verified by Toppr Given, Let sin −1x=tan −1y=θ or, x=sinθ and y=tanθ or, x1=cosecθ...... (1) and y1=cotθ..... (2). Now, x 21 − y 21 =cosec 2θ−cot 2θ [ Using (1) and (2)] x 21 − y 21 =1. Solve any question of Inverse Trigonometric Functions with:- Patterns of problems > WebIf sin - 1 x + sin - 1 y = π 2 then d y d x is equal to A x y B - x y C y x D - y x Solution The correct option is B - x y Explanation for the correct option. Step 1: Simplify the equation Given that, sin - 1 x + sin - 1 y = π 2 sin - 1 x = π 2 - sin - 1 y sin - 1 x = cos - 1 y cos - 1 1 - x 2 = cos - 1 y Equating angles: y = 1 - x 2 ...... ( 1) Web8 sep. 2024 · Answer: 2 sin (x-y) + 2 sinycosx = 2 sinxcosy. Now, divivide by 2 which yield: sin (x-y) + sinycosx = sinxcosy. Finally, solve for sin (x-y) and we get the desired … fahéjfa