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Mensuration and Trigonometry

Quick questions on Trigonometric ratios in right-angled triangles explained: O-Level E-Maths

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is choosing the right ratio?
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Identify which two sides are involved (one known, one wanted), then pick the ratio that uses exactly those two sides. If the hypotenuse and opposite appear, use sine; adjacent and hypotenuse, cosine; opposite and adjacent, tangent.
What is calculator in the wrong mode?
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O-Level trigonometry uses degrees, so the calculator must be in degree mode, not radians.
What is q1?
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In a right-angled triangle the adjacent side is 8 cm8\ \text{cm} and the angle is 4040^\circ. Find the hypotenuse, to 2 decimal places. [2 marks]
What is q2?
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The opposite side is 6 cm6\ \text{cm} and the hypotenuse is 10 cm10\ \text{cm}. Find the angle, to 1 decimal place. [2 marks]
What is q3?
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State which ratio links the opposite side and the adjacent side. [1 mark]

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