10
QuizMultiple Choice

Angles and Trigonometric Functions — Quiz

Question 10 • Precalculus

Which expression has the same value as tangent of open paren negative 45 degrees close paren ?

Answer
A
negative sine times open paren 270 degrees close paren
B
negative cosine times open paren 180 degrees close paren
C
cotangent of open paren 135 degrees close paren
D
tangent of open paren 45 degrees close paren

Explanation

The tangent function is odd, so tan(−45°) = −tan(45°) = −1. For choice C, cot(135°) = 1/tan(135°), and tan(135°) = −1, so cot(135°) = −1. Thus, cotangent of 135 degrees has the same value.

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