Trigonometry — Identities, Equations & Triangles — Practice

Question 1

If tanθ = 5/12 (θ acute), the value of secθ − cosecθ is

Accepted Answer

A

Question 2

The value of (secθ − tanθ)(secθ + tanθ), for any θ where both are defined, is

Accepted Answer

A

Question 3

If secθ + tanθ = 3, then secθ equals

Accepted Answer

A

Question 4

The value of cos15° is

Accepted Answer

A

Question 5

If cosθ = −3/5 and θ lies in the second quadrant, the value of sin2θ is

Accepted Answer

A

Question 6

If sinθ = 1/3, the value of sin3θ is

Accepted Answer

A

Question 7

The number of solutions of 2cos²θ − 3cosθ + 1 = 0 in [0, 2π) is

Accepted Answer

A

Question 8

The general solution of tan²θ = 3 is

Accepted Answer

A

Question 9

The value of tan⁻¹(1) + tan⁻¹(2) + tan⁻¹(3) is

Accepted Answer

A

Question 10

The principal-value range of cos⁻¹x is

Accepted Answer

A

Question 11

In triangle ABC, A=60°, b=6 cm, c=4 cm. The length of side a is

Accepted Answer

A

Question 12

From a point on level ground, the angle of elevation of the top of a tower is 30°. After walking 60 m towards the tower, the angle of elevation becomes 45°. The height of the tower is

Accepted Answer

A

Practice — Trigonometry — Identities, Equations & Triangles

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