Explanation: Solving: 1. Identify the Formula: Use the identity: Let , then . 2. Find : 3. Calculate the Result: Correct Option: (a) 0.96

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NIMCET 2010 Mathematics PYQ — The value of is:… | Mathem Solvex

A.
$0.96$
(Correct Answer)
B.
$\sin(1.2)$
C.
$0.48$
D.
$\sin(1.6)$

Correct Answer:

$0.96$

Explanation

Solving:

1. Identify the Formula:

Use the identity: $\sin(2\theta) = 2 \sin \theta \cos \theta$

Let $\theta = \sin^{-1}(0.6)$ , then $\sin \theta = 0.6$ .

2. Find $\cos \theta$ :

\cos \theta = \sqrt{1 - \sin^2 \theta}

\cos \theta = \sqrt{1 - (0.6)^2}

\cos \theta = \sqrt{1 - 0.36} = \sqrt{0.64} = 0.8

3. Calculate the Result:

\sin(2\theta) = 2(0.6)(0.8)

\sin(2\theta) = 2(0.48)

\sin(2\theta) = 0.96

Correct Option:

(a) 0.96

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NIMCET 2010 — Mathematics PYQ

Choose the correct answer:

Explanation

Solving:

Explanation

Solving: