Web30 mrt. 2024 · Ex 2.1,13 If sin−1 x = y, then (A) 0 ≤ y ≤ π (B) −π/2 ≤ y ≤ π/2 (C) 0 < y < π (D) − π/2 < y < π/2 Given sin−1 x = y y = sin−1 x We know that range of sin is [ (−𝜋)/2, 𝜋/2 … 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 …
If sin 1x /a= cos 1x/b= tan 1y/c; 0, then the value of cosπc/a + b is:
WebIf ( sin - 1 x) a = ( cos - 1 x) b = ( tan - 1 y) c; 0 < x < 1, then the value of cos π c a + b is: A 1 - y 2 2 y B 1 - y 2 1 + y 2 C 1 - y 2 D 1 - y 2 y y Solution The correct option is B 1 - y 2 1 + y 2 Explanation for the correct option. Step 1: Finding the value of ( a + b) Given that, ( sin - 1 x) a = ( cos - 1 x) b = ( tan - 1 y) c; 0 < x < 1 Web18 mrt. 2016 · How do you prove sin−1(x) + cos−1(x) = π 2? Trigonometry Trigonometric Identities and Equations Fundamental Identities 1 Answer P dilip_k Mar 18, 2016 Letsin−1x = θ ⇒ x = sinθ = cos( π 2 − θ) ⇒ cos−1x = π 2 − θ … division 2 heartbreaker skills
If cos ^-1x >sin ^-1x , then x belongs to the interval - Toppr Ask
Web9 feb. 2024 · The correct option is (c) i.e -x/y differentiating sin^-1 x +sin^-1 y= π/2 w.r.t 'x' we get, (1/√1-x²)+ (1/√1-y²) dy/dx =0 dy/dx = - (√1-y²)/ (√1-x²).... (i) we know, sin^-1 y= π/2 - sin^-1 x sin^-1 y= cos^-1 x sin^-1 y= sin^-1 √1-x² we get, y= √1-y² similarly for sin^-1 x we get, x= √1-y² therefore dy/dx from eq. (i) we get -x/y dy/dx = -x/y Web18 aug. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and … Web10 mrt. 2024 · If sin−1x a = cos−1x b = tan−1y c; s i n − 1 x a = c o s − 1 x b = t a n − 1 y c; 0 < x < 1, then the value of cos (πc a+b π c a + b) is jee jee main jee main 2024 Please … division 2 health damage