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A practice midterm exam for math 112, spring 2004. The exam covers various topics related to trigonometric functions, including true or false questions, graph drawing, evaluating expressions, finding values of trigonometric functions, and proving identities. Students are required to show their work for some problems.
Typology: Exams
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T F cot θ is the slope of the terminal side of θ
T F The domain of tan−^1 θ is [− 1 , 1]
T F cot(−θ) = − cot θ
T F The sec function is an even function.
T F The range of cos−^1 is [0, π]
T F The range of cos θ is [0, π]
T F csc 2θ =
2 sin θ cos θ
T F cos(θ + 3θ) = cos θ + cos 3θ
T F cos(θ + 3θ) = cos θ cos 3θ − sin θ sin 3θ
T F ln e^0 = 0
sec(− 34 π ) csc π 6 cot 6076 π
2)−^1 cos^2 x (sin^3 x)(
6)(cot x)(csc x)
sin x − sin 3x cos x − cos 3x
= − cot 2x
hint: think factor identites
∑^ n
i=
2 i^
2 n