Question

Does anyone know the answer for these two questions?

Answer 1

1)
`sin(90-x) = 49.68`

2)sin(sin(x)) = 0.0154

Explanation:

1) sin(90-x) can be written as cos(x).

It is given that, cos(cos(x)) =
`(11)/(17)`

Taking
`cos^(-1)` on both the sides,

`cos^(-1)(cos(cos(x))) = cos^(-1)((11)/(17))`

`cos(x) = cos^(-1)((11)/(17)) = 49.68`

Thus,

`cos(x) = sin(90-x) = 49.68`

2))
`cos(cos(x)) = (12)/(13)`

`cos(x) = cos^(-1)((12)/(13)) = 22.631 degrees = 0.394 radians`

Applying,

`sin(x) = \sqrt{1-cos^(2)(x) }`,

sin(x) =
`√(1-(0.391)^2)  }`

sin(x) = 0.884

sin(sin(x)) = sin(0.884) = 0.0154