Grade 10 Mathematics Revision: Trigonometry and Radian Measure

Q: What is the domain of the function f(x) = tan(x)?

{x ∈ R | x ≠ π/2 + nπ, n ∈ Z}

Q: Find the complement and supplement of π/4 radians.

Complement: π/4, Supplement: 3π/4

Mathematics

This document contains review questions for Grade 10 Mathematics, covering topics such as radian measure, angle conversions, basic trigonometric functions, periods, amplitudes, domains, and solving trigonometric equations.

Trigonometry Radian Measure Functions

20 Questions Medium Ages 15+ Mar 30, 2026

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About this Study Set

This study set covers Mathematics through 20 practice questions. This document contains review questions for Grade 10 Mathematics, covering topics such as radian measure, angle conversions, basic trigonometric functions, periods, amplitudes, domains, and solving trigonometric equations. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

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Browse all 20 questions from the Grade 10 Mathematics Revision: Trigonometry and Radian Measure study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the period of sin(bx)?

A 2π
B 2π/b
C π
D π/b

2 What is the amplitude of the function g(x) = -3cos(x) + 5?

A 3
B 5
C -3
D 8

3 Simplify the expression: sin²θ + cos²θ + tan²θ.

A sec²θ
B csc²θ
C tan²θ
D 1

4 If secθ = 2 and 270° < θ < 360°, find θ.

A 300°
B 330°
C 270°
D 360°

5 Solve for x in the interval [0, 2π]: 2sin(x) - 1 = 0.

A π/6, 5π/6
B π/3, 2π/3
C π/4, 3π/4
D π/6, 7π/6

6 Which of the following is an even function?

A sin(x)
B cos(x)
C tan(x)
D csc(x)

7 What is the domain of the function f(x) = tan(x)?

A {x ∈ R | x ≠ nπ, n ∈ Z}
B {x ∈ R | x ≠ π/2 + nπ, n ∈ Z}
C {x ∈ R | x ≠ 2nπ, n ∈ Z}
D {x ∈ R}

8 Find the exact value of sin(210°).

A -1/2
B 1/2
C -√3/2
D √3/2

9 Convert 150° to radians.

A 5π/6
B 6π/5
C 3π/4
D 4π/3

10 Convert 2π/3 radians to degrees.

A 120°
B 60°
C 150°
D 240°

11 A circle has a radius of 10 cm. Find the length of the arc intercepted by a central angle of 2.5 radians.

A 25 cm
B 12.5 cm
C 20 cm
D 5 cm

12 Find the area of a sector with a radius of 6 cm and a central angle of π/4 radians.

A 9π/2 cm²
B 3π cm²
C 18π cm²
D 27π/2 cm²

13 If an arc of length 15 cm subtends a central angle of 120°, what is the radius of the circle?

A 6.75 cm
B 22.5 cm
C 7.5 cm
D 12 cm

14 Determine the linear speed (in cm/s) of a point on the edge of a wheel with radius 20 cm rotating at 3 radians per second.

A 60 cm/s
B 23 cm/s
C 40 cm/s
D 60π cm/s

15 Find the complement and supplement of π/4 radians.

A Complement: π/4, Supplement: 3π/4
B Complement: π/2, Supplement: 3π/4
C Complement: π/4, Supplement: 7π/4
D Complement: π/2, Supplement: 7π/4

16 If θ is in standard position and the point P(-3, 4) lies on its terminal side, find sin θ.

A 4/5
B -3/5
C 5/4
D -5/3

17 If θ is in standard position and the point P(-3, 4) lies on its terminal side, find cos θ.

A -3/5
B 4/5
C -5/3
D 5/4

18 If θ is in standard position and the point P(-3, 4) lies on its terminal side, find tan θ.

A -4/3
B 3/4
C -5/3
D 5/4

19 Determine the exact value of sin(3π/4).

A √2/2
B -√2/2
C 1/2
D -1/2

20 If cos θ = -3/5 and θ is in Quadrant III, find the value of csc θ.

A -5/4
B 5/4
C -5/3
D 3/5

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