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Question

If 0<x<(1/√2) and ( sin -1 x/α)=( cos -1 x/β) then a value of sin ((2 π α/α+β)) is (A) 4 √(1-x2)(1-2 x2) (B) 4 x √(1-x2)(1-2 x2) (C) 2 x √(1-x2)(1-4 x2) (D) 4 x √(1-x2)(1-4 x2)

Tardigrade Admin · Accepted Answer

Correct answer is (b) 4 x √(1-x2)(1-2 x2)

Q. If $0 < x < \frac{1}{2}$ and $\frac{s i n ^{- 1} x}{α} = \frac{c o s ^{- 1} x}{β}$ then a value of $sin (\frac{2 π α}{α + β})$ is

$4 (1 - x^{2}) (1 - 2 x^{2})$

$4 x (1 - x^{2}) (1 - 2 x^{2})$

$2 x (1 - x^{2}) (1 - 4 x^{2})$

$4 x (1 - x^{2}) (1 - 4 x^{2})$

Correct answer is (b) $4 x (1 - x^{2}) (1 - 2 x^{2})$

Q. If 0<x<2​1​ and αsin−1x​=βcos−1x​ then a value of sin(α+β2πα​) is

4(1−x2)​(1−2x2)

4x(1−x2)​(1−2x2)

2x(1−x2)​(1−4x2)

4x(1−x2)​(1−4x2)