Trigonometry exam questions
Exam-style Trigonometry questions with worked solutions, step-by-step methods and common student mistakes. Practice for Mathematics and other qualifications.
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A right-angled triangle has a hypotenuse of 13 cm and one shorter side of 5 cm. Work out the length of the third side.
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By Pythagoras: √(13² − 5²) = √(169 − 25) = √144 = 12 cm.
(Total for Question 1 is 3 marks)
In a right-angled triangle, the hypotenuse is 10 cm and one angle is 30°. Find the length of the side opposite the 30° angle.
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opposite = 10 × sin 30° = 10 × 0.5 = 5 cm.
(Total for Question 2 is 2 marks)
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