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sin^(-1)(-1)=

$\sin ^{-1}(-1)$ =

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Evaluate integers raised to rational exponents

Full solution

Q.

\sin ^{-1}(-1)

=

Question Prompt: Question prompt: What is the value of $\sin^{-1}(-1)$ ?
Understand the Problem: Understand the problem. $\newline$ We need to find the angle whose sine is $-1$ .
Recall Definition: Recall the definition of the inverse sine function. The inverse sine function, $\sin^{-1}(x)$ , gives us the angle whose sine is $x$ .
Recall Range: Recall the range of the inverse sine function. $\newline$ The range of $\sin^{-1}(x)$ is from $-\frac{\pi}{2}$ to $\frac{\pi}{2}$ .
Identify Angle: Identify the angle within the range of the inverse sine function whose sine is $-1$ . $\newline$ The sine of $-\pi/2$ is $-1$ .
Write Final Answer: Write the final answer. $\sin^{-1}(-1) = -\frac{\pi}{2}$

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