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Right Triangle and Trigonometric Ratios

Total questions: 9

Worksheet time: 5mins

Name
Class
Date
1.

The diagram shows a right-angled triangle. Find the value of tan (x).

a)

p/r

b)

p/q

c)

q/p

d)

q/r

2.

The values of sinus and cosine of an acute angle θ are the same. State the value of θ.

a)

0°

b)

30°

c)

45°

d)

60°

3.

The diagram shows a right-angled triangle PQS. Given cos x = 15/17. Find the value of tan y.

a)

4/17

b)

4/15

c)

8/17

d)

8/15

4.

Given sin θ = 0.4325, where θ is an acute angle. Calculate the values of cos θ and tan θ.

a)

cos θ = 0.9016, tan θ = 0.4798

b)

cos θ = 0.9016, tan θ = 0.5675

c)

cos θ = 0.5675, tan θ = 0.9016

d)

cos θ = 0.5675, tan θ = 0.4798

5.

In the diagram, PTS and QRS are straight lines. Which of the following is not true?

a)

PQ is the opposite side with respect to ∠x

b)

QS is the adjacent side with respect to ∠x

c)

RT is the opposite side with respect to ∠x

d)

RS is the adjacent side with respect to ∠x

6.

Given sin θ = m and cos θ = 2n. State the value of tan θ in terms of m and n.

a)

n/2m

b)

2n/m

c)

m/2n

d)

2m/n

7.

The diagram shows a rectangle PQRS. Given PQ = 7 cm and tan x = 7/16. Find the value of sin y.

a)

7/16

b)

8/25

c)

7/24

d)

7/25

8.

The diagram consists of two right-angled triangles, PQR and RST. RST and QRS are straight lines. Find the value of cos x.

a)

20/29

b)

21/29

c)

20/21

d)

21/20

9.

In the diagram, QRS is a straight line. Tick the true statement(s) given below.

a)

sin x > sin y

b)

cos x > cos y

c)

tan x > tan y