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Basic Inverse Trigonometric Functions

Match the tri...

Question

Match the trigonometric equations from List-I
to solutions in List-II
List-I
List-II

$A) 3 (1 + sin x) = 1 + cos 2 x$

1 $) x = π$

$B) {sin}^{2} x + 2 {cos}^{2} x = 2$

$2) x = {sin}^{1} (\frac{1}{3})$

$C)$ \sin x $= 1 / 3$

$3$ ) $x = {sin}^{1} (- 1)$

4 $) x = \frac{π}{3}$

123

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214

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312

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412

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Solution

The correct option is D $312$
it is obvious that B) $- 1$ and C) $- 2$
now for A), we write $cos 2 x = 1 - 2 {sin}^{2} x$
we get A) $- 3$

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List-I	List-II
a) Equation of tangent to the curve $y = b e^{- x / a}$ at $x = 0$	1) $x - 2 y = 2$
b) Equation of tangent to the curve $y = x^{2} + 1$ at $(1, 2)$	2) $y = 2 x$
c) Equation of normal to the curve $y = 2 x - x^{2}$ at $(2, 0)$	3) $x - y = π$
d) Equation of normal to the curve $y = sin x$ at $x = π$	4) $\frac{x}{a} + \frac{y}{b} = 1$

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