Modeling with Trigonometric Expressions and Functions: Part One — Test
Question 17 • Precalculus
What is the exact value of cotangent of open paren 3 pi over 4 close paren ?
Answer
A
square root of 2
B
1
C
negative square root of 2
D
negative 1
Explanation
Cotangent is cosine divided by sine. At 3π/4, cosine is −√2/2 and sine is √2/2, so cot(3π/4) = (−√2/2)/(√2/2) = −1. The correct choice is D, negative 1.
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