Question

Evaluate:sin^-1(cos(7pi/4))

Answer 1

Given the expression in the question tab, the following are the solution steps to get the answer

Step 1: Write out the expression

`\sin ^(-1)(\cos ((7\pi)/(4)))`

Step 2: Evaluate the expression using the order of operation. This implies that we evaluate the bracket first.

`\begin{gathered} \sin ^(-1)(\cos ((7\pi)/(4))) \\ \text{solving }(\cos ((7\pi)/(4))),\text{ we have} \\ \cos (5.497787144) \\ =0.9953998993 \end{gathered}`

Step 3: We evaluate the last part of the expression

`\begin{gathered} \sin ^(-1)(\cos ((7\pi)/(4)))=\sin ^(-1)(0.9953998993) \\ =84.50221286 \\ \sin ^(-1)(\cos ((7\pi)/(4)))\approx84.5022 \end{gathered}`

Hence, the result from the evaluation of sin^-1(cos(7pi/4)) is approximately 84.5022.