AQA · Mathematics · 8300

GCSE Maths: Trigonometry missing sides

Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Trigonometry missing sides (Corbettmaths Video 330), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.

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  1. In a right-angled triangle, which trigonometric ratio uses opposite and hypotenuse?

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    Sine (sin θ = opposite / hypotenuse)

  2. In a right-angled triangle, which trigonometric ratio uses adjacent and hypotenuse?

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    Cosine (cos θ = adjacent / hypotenuse)

  3. In a right-angled triangle, which trigonometric ratio uses opposite and adjacent?

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    Tangent (tan θ = opposite / adjacent)

  4. What is the value of sin 30°?

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    0.5

  5. What is the angle of elevation?

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    The angle measured upward from the horizontal to an object above the observer.

  6. To find a missing side in a right-angled triangle when given an angle and one side, use ?.

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    trigonometry

  7. If you know the opposite side and the angle in a right-angled triangle and need to find the hypotenuse, which trigonometric ratio should you use?

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    Sine (rearrange sin θ = opposite / hypotenuse to find hypotenuse = opposite / sin θ)

  8. If you know the adjacent side and the angle in a right-angled triangle and need to find the opposite side, which trigonometric ratio should you use?

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    Tangent (rearrange tan θ = opposite / adjacent to find opposite = adjacent × tan θ)

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