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If e=−270∘, simplify the expression cos^−1(cos e). Do not include the degree symbol in your answer.

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Answer: 90

Explanation:

To simplify the expression cos^(-1)(cos e) with e = -270°, we first need to find an equivalent angle in the range [0, 360) or [0, 2π]. Since -270° is -3/4 of a full rotation, we can find an equivalent angle by adding 360°:

e' = -270° + 360° = 90°

Now, we can evaluate the expression:

cos^(-1)(cos e) = cos^(-1)(cos 90°)

The cosine of 90° is 0:

cos(90°) = 0

Therefore, the expression simplifies to:

cos^(-1)(0) = 90

So, cos^(-1)(cos(-270°)) = 90.

User Milen Kovachev
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