Find the value of if sin -1 x-y- thenA 0 - y - B -2- y -2C 0-y- D -2-y-2

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Theorems for Differentiability

Find the valu...

Question

Find the value of if sin⁻¹ x = y, then

(A) (B)

(C) (D)

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Similar questions

If $s i n^{- 1} x = y$ , then which one of the following is correct?

a) $0 \leq y \leq π$
b) $- \frac{π}{2} \leq y \leq \frac{π}{2}$
c) $0 < y < π$
d) $- \frac{π}{2} < y < \frac{π}{2}$

If sin^-1x = y then the range of y is:

y = {sin}^{- 1} x

| y | = \frac{π}{2}

\sqrt{2}

y = {sin}^{- 1} x

[\frac{- π}{2}, \frac{π}{2}]

{s i n}^{- 1} x, {c o s}^{- 1} x, {t a n}^{- 1} x

{t a n}^{- 1} x + {t a n}^{- 1} y = {t a n}^{- 1} \frac{x + y}{1 - x y}

x y < 1

π + {t a n}^{- 1} \frac{x + y}{1 - x y}

x y > 1

{s i n}^{- 1} (3 x / 5) + {s i n}^{- 1} (4 x / 5) = {s i n}^{- 1} x

{c o s}^{- 1} x + {s i n}^{- 1} (\frac{1}{2} x) = \frac{π}{6}

a \leq {t a n}^{- 1} (\frac{1 - x}{1 + x}) \leq b

0 \leq x \leq 1

(a, b) =

(0, π)

(0, π / 4)

(- π / 4, π / 4)

(π / 4, π / 2)

a \leq {({s i n}^{- 1} x)}^{3} + {({c o s}^{- 1} x)}^{3} \leq b

(\frac{π^{3}}{32}, \frac{7 π^{3}}{8})

{s i n}^{- 1} x, {c o s}^{- 1} x, {t a n}^{- 1} x

{t a n}^{- 1} x + {t a n}^{- 1} y = {t a n}^{- 1} \frac{x + y}{1 - x y}

x y < 1

π + {t a n}^{- 1} \frac{x + y}{1 - x y}

x y > 1

{t a n}^{- 1} (\frac{1}{2} t a n 2 A) + {t a n}^{- 1} (c o t A) + {t a n}^{- 1} ({c o t}^{3} A)

0

π / 4 < A < π / 2

= π

0 < A < π / 4

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