Which of the following is cotangent of theta secant of theta in simplified form?
Answer
A
1
B
negative 1
C
cosecant theta
D
tangent theta
Explanation
Use cotangent θ = cos θ / sin θ and secant θ = 1 / cos θ. Their product is (cos θ / sin θ)(1 / cos θ) = 1 / sin θ, which is cosecant θ, so the answer is C, cosecant theta.
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