Practice Right-angled Triangle Definitions (1.2) - Trigonometric Identities and Graphs

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6 sample questions

Question 1.
What is the sine of an angle if the opposite side is 4 and the hypotenuse is 5?
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Use the formula sin(θ) = opposite/hypotenuse.
Question 2.
Identify the longest side of a right triangle.
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It's opposite the right angle.
3Question 3.
What is the formula for sine in a right-angled triangle?
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Think about what sine represents in terms of triangle sides.
4Question 4.
True or False: The hypotenuse is the shortest side in a right-angled triangle.
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Remember which side is opposite the right angle.
Question 5.
For a right triangle where the opposite side measures 12 and the adjacent side measures 16, calculate all three trigonometric functions: sin(θ), cos(θ), and tan(θ).
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Remember to find the hypotenuse first!
Question 6.
If cot(θ) = 3, what are the values of sin(θ) and cos(θ)?
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Use the relationships between sine, cosine, and tangent.

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