Question

solve this question​

Answer 1

Answer:

dued refer pic above plz

Answer 2

Answer :

Let sin-1(3/5) = x and sin-1(8/17) = y

Therefore sinx = 3/5 and siny = 8/17

Now, cosx = √(1 - sin2x) = √(1 - (3/5)2) = √(1 - 9/25) = 4/5

and cosy = √(1 - sin2y) = √(1 - (8/17)2) = √(1 - 64/289) = 15/17

We have cos(x - y) = cosx cosy + sinx siny

= 4/5 x 15/17 + 3/5 x 8/17 = 60/85 + 24/85 = 84/85

⇒ x - y = cos-1(84/85)

⇒ sin-1(3/5) - sin-1(8/17) = cos-1(84/85)

$\rule{150}{2}$