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Question: sin [2 cos<sup>–1</sup>(–3/5)] is equal to...

sin [2 cos–1(–3/5)] is equal to

A

625\frac { 6 } { 25 }

B

2425\frac { 24 } { 25 }

C

45\frac { 4 } { 5 }

D

−2425\frac { - 24 } { 25 }

Answer

−2425\frac { - 24 } { 25 }

Explanation

Solution

sin [2 (p – cos–1 3/5)] Ž sin [2p – 2 cos–1 3/5]

– sin [cos–1{2 × (9/25) –1}Ž – sin [cos–1 (–7/25)]

Ž – sin [p – cos–1 7/25] Ž – sin [cos–1 7/25]

Ž – sin [sin–1 24/25] Ž – 24/25