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Trigonometric Identities and Equations Worksheet

Trigonometric Identities and Equations Worksheet
• Page 1
1.
Find the value of (csc2A - 1).

 a. cot A b. tan A c. tan2A d. cot2A

Answer: (d)

Correct answer : (4)
2.
Using double-angle formulas, choose the formula that corresponds to the value of sin 6$\theta$.
 a. 3sin 2θ b. 2sin 3θ c. 2 sin 3θ cos 3θ d. 6sin θ

Answer: (c)

Correct answer : (3)
3.
Choose a formula that corresponds to the value of cos 4$\theta$.
 a. 2cos2(2θ) - 1 b. 2cos2(2θ) + 1 c. 1 + 2sin22θ d. 2cos 2θ

Answer: (a)

Correct answer : (1)
4.
Simplify sec B · cos B - sin2 B.
 a. cot2 B b. tan2 B c. 1 d. cos2 B

Answer: (d)

Correct answer : (4)
5.
Simplify sin A · csc A + cot2 A.
 a. sin2 A b. csc2 A c. cos2 A d. sec2 A

Answer: (b)

Correct answer : (2)
6.
Find the value of (tan θ + cot θ) sin θ.
 a. tan2 θ b. 1 c. csc θ d. sec θ

Answer: (d)

Correct answer : (4)
7.
Find the value of (sin2 θ + cot2 θ · sin2 θ).
 a. sin2 θ · cos2 θ b. 1 c. sin2 θ · sec2 θ d. cos2 θ

Answer: (b)

Correct answer : (2)
8.
Find the number of solutions of the equation 1 - sin θ = cos 2θ, 0° ≤ θ < 180°.

 a. 1 b. 4 c. 3 d. 2

Answer: (c)

Correct answer : (3)
9.
Solve 7tan θ - 3 = 4, 180° ≤ θ ≤ 270°.
 a. 405° b. 135° c. 45° d. 225°

Answer: (d)

Correct answer : (4)
10.
If 180° < $\theta$ < 270° and cos $\theta$ = - $\frac{24}{25}$, then find the exact value of sin 2$\theta$.
 a. $\frac{336}{625}$ b. $\frac{14}{25}$ c. - $\frac{14}{25}$ d. - $\frac{336}{625}$

Answer: (a)

Correct answer : (1)

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