Question

Simplify arcsin(cos 35°)

Answer 1

Given:

`arcsin(cos35^(\circ))`

To simplify:

Step-by-step explanation:

As we know,

`cos\theta=sin(90-\theta)`

Therefore, we write,

`\begin{gathered} arcsin(cos35^(\circ))=arcsin(sin(90^(\circ)-35^(\circ))) \\ =arcsin(sin(55^(\circ)) \\ =55^(\circ) \end{gathered}`

Thus, the answer is 55 degrees.

Fina;