The value of this is sin(2sin^-1(0.6))

1.	The value of this is sin(2sin^-1(0.6))
Answer» Answer: 0.96 Step-by-step EXPLANATION: GIVEN, $sin(2sin^{-1}(0.6))$ LET, $sin^{-1}(0.6)=A$ -------(1) $\implies sin A = 0.6$ $\implies \sqrt{1-cos^2A} = 0.6$ ( SINCE, sin² A + cos² A = 1 ⇒ sin² A = 1 - cos² A ⇒ sin A = √(1-cos² A) ) $1-cos^2A = 0.36$ $cos^2A= 1-0.36 = 0.64$ $\implies cos A = 0.8$ We know that, $sin 2A = 2 sin A cos A = 2\times 0.6\times 0.8=0.96$ From equation (1), $\implies sin 2[sin^{-1}(0.6)]=0.96$

Answer»

Answer:

0.96

Step-by-step EXPLANATION:

$sin(2sin^{-1}(0.6))$