EZ Math

Practice set · Grades 10 to 12

Trigonometry practice problems

10 problems with answers, grouped by topic.

Stuck? Open the Trigonometry hub for the worked examples.

Right triangle trigonometry

Solve each problem. Then open the answer to check.

  1. sin⁡30∘, hypotenuse 10\sin 30^\circ,\ \text{hypotenuse } 10

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    55

  2. sin⁡45∘, hypotenuse 8\sin 45^\circ,\ \text{hypotenuse } 8

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    424\sqrt{2}

  3. cos⁡θ=12\cos\theta = \frac{1}{2}

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    θ=60∘\theta = 60^\circ

  4. tan⁡θ=1\tan\theta = 1

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    θ=45∘\theta = 45^\circ

Radians and the unit circle

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  1. 120∘120^\circ

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    2π3\frac{2\pi}{3}

  2. 315∘315^\circ

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    7π4\frac{7\pi}{4}

  3. cos⁡60∘\cos 60^\circ

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    12\frac{1}{2}

Sine and cosine graphs

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  1. y=sin⁡(2x)y = \sin(2x)

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    π\pi

  2. y=sin⁡(x3)y = \sin\left(\frac{x}{3}\right)

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    6π6\pi

  3. y=cos⁡(4x)y = \cos(4x)

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    π2\frac{\pi}{2}

Need the method?

Every Trigonometry topic has worked examples, step by step.

Open the Trigonometry hub