TRIGONOMETRIC RATIOS

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

• PQ is the opposite side with respect to ∠x

• QS is the adjacent side with respect to ∠x

• RT is the opposite side with respect to ∠x

• RS is the adjacent side with respect to ∠x

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

• p/r

• p/q

• q/p

• q/r

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

• 0°

• 30°

• 45°

• 60°

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

• 4/17

• 4/15

• 8/17

• 8/15

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

• cos θ = 0.9016, tan θ = 0.4798

• cos θ = 0.9016, tan θ = 0.5675

• cos θ = 0.5675, tan θ = 0.9016

• cos θ = 0.5675, tan θ = 0.4798

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

• n/2m

• 2n/m

• m/2n

• 2m/n

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

• 7/16

• 8/25

• 7/24

• 7/25

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

• 20/29

• 21/29

• 20/21

• 21/20

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

• sin x > sin y

• cos x > cos y

• tan x > tan y