If sin-1x y then
WebIf y = sin –1 x, then (1 – x 2)y 2 is equal to `underline(bb(xy_1))`. Explanation: y = sin –1 x `(dy)/(dx) = 1/sqrt(1 - x^2)` ⇒ `sqrt(1 - x^2) . (dy)/(dx)` = 1. Again, differentiating both … WebSolution The correct option is B sin 2 θ + cos 2 β Explanation for the correct option. Given that, sin - 1 ( x) = θ + β and sin - 1 ( y) = θ - β. ⇒ x = sin ( θ + β) and y = sin ( θ - β) 1 + x y = 1 + sin ( θ + β) sin ( θ - β) 1 + x y = 1 + sin 2 θ - sin 2 β Using the identity, sin 2 A + cos 2 A = 1. 1 + x y = sin 2 θ + cos 2 β
If sin-1x y then
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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 >
Webfrom equation (1) to y=sin −1x on diff. and we get dxdy=y= 1−x 21 y= 1−x 21 again diff and we get y"= dxd (1−x 2) −1/2 y"=− 21(1−x) − 21−1dxd (1−x 2) = 2−1(1−x 2) − 23(0−2x) =+ … WebIf sin 1x+cot 11/2=π/2 then x is: Login. Study Materials. NCERT Solutions. NCERT Solutions For Class 12. NCERT Solutions For Class 12 Physics; ... If c o t − 1 x + c o t − 1 y + c o t − 1 z = π 4, then x y + y z + z x + x + y + z = View More. Related Videos. Standard Expansions and Standard Limits. MATHEMATICS. Watch in App. Explore more.
Web29 mei 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site WebKCET 2016: If sin-1 x + sin-1 y= (π/2) , then x2 is equal to (A) 1 - y2 (B) y2 (C) 0 (D) √1 - y . Check Answer and Solution for above question from
Web9 feb. 2024 · If sin^-1x + sin^-1 y + sin^-1z = π, then prove that: x√(1 - x^2) + y√(1 - y^2) + z√(1 - x^2) = 2xyz asked Apr 14, 2024 in Inverse Circular Functions by PritiKumari ( …
Web1 apr. 2024 · If y=(sin−1x)2, then prove that (1−x2)ym+2 −(2n+1)xya+1 −n2ya =0 and find (yn )0. The world’s only live instant tutoring platform. Become a tutor About us Student login Tutor login. Login. Student Tutor. Filo instant Ask button for chrome browser. Now connect to a tutor anywhere ... family size prayer journalWebIf 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) cool moped helmets ram hornsWebBest 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 coolmore vs godolphinWebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators ... family size pressure cookerWebIf sin -1 x = y then the range of y is: A B C D Solution The correct option is D Suggest Corrections 0 Similar questions Q. Find the value of if sin−1 x = y, then (A) (B) (C) (D) Q. The range of sec−1x is Q. The range of sin−1x−cos−1x is Q. Inverse circular functions,Principal values of sin−1x,cos−1x,tan−1x. tan−1x+tan−1y=tan−1 x+y 1−xy, xy<1 coolmore toursWeb10 mei 2024 · Here, #y=sin(msin^-1x)...to(1)# Diff.w.r.t. #x# #y_1=cos(msin^-1x)d/(dx)(msin^-1x)# #y_1=cos(msin^-1x)xxm/sqrt(1-x^2)# #sqrt(1-x^2)*y_1=mcos(msin^-1x)# Squaring both ... cool moon factsWeb30 mrt. 2024 · If sin^-1 x + sin^-1 y = 2pi/3, then value of cos-1 x + cos-1 y is Class 12 Solutions of Sample Papers and Past Year Papers - for Class 12 Boards CBSE Class 12 Sample Paper for 2024 Boards Question 6 - CBSE Class 12 Sample Paper for 2024 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards cool moose cafe jacksonville