WBBSEClass XMathematicsTrigonometric Ratio of Complementary Angle02 Mark2023 Easy

QQuestion

If tan θ = \frac{8}{15} find the value of sin θ.

Exam-ready answer • 02 Mark

Answer

tan θ = \frac{8}{15}

⇒ p = 8k and b = 15k

Pythagoras theorem: h² = p² + b²

or, h² = (8k)² + (15k)²

or, h² = 289k²

or, h = 17

∴ sin θ = 8/17

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