Trigonometry — Ratios & Identities — Practice

Question 1

If tan θ = 8/15 (θ acute), then cosec θ equals

Accepted Answer

A

Question 2

The value of sin²30° + cos²45° + tan²60° is

Accepted Answer

B

Question 3

If sec θ − tan θ = 1/3, then sec θ + tan θ equals

Accepted Answer

C

Question 4

If sec θ + tan θ = 2, then cos θ equals

Accepted Answer

B

Question 5

The value of tan 10° · tan 20° · tan 45° · tan 70° · tan 80° is

Accepted Answer

B

Question 6

The maximum value of 7 sin θ + 24 cos θ is

Accepted Answer

B

Question 7

The minimum value of sin⁴θ + cos⁴θ is

Accepted Answer

C

Question 8

If cos θ + cos²θ = 1, then sin²θ + sin⁴θ equals

Accepted Answer

C

Question 9

Simplify: (1 + tan²θ)(1 − sin θ)(1 + sin θ)

Accepted Answer

B

Question 10

The value of sin²5° + sin²85° + sin²45° is

Accepted Answer

B

Question 11

The value of tan 75° + cot 75° is

Accepted Answer

B

Practice — Trigonometry — Ratios & Identities