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# Prave That: Sin 2 θ Cos θ + Cos θ = Sec - Geometry

ConceptApplication of Trigonometry

#### Question

Prove that:
$\frac{\sin^2 \theta}{\cos\theta} + \cos\theta = \sec\theta$

#### Solution

$\frac{\sin^2 \theta}{\cos\theta} + \cos\theta$
$= \frac{\sin^2 \theta + \cos^2 \theta}{\cos\theta}$
$= \frac{1}{\cos\theta}$
$= \sec\theta$

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#### APPEARS IN

Solution Prave That: Sin 2 θ Cos θ + Cos θ = Sec Concept: Application of Trigonometry.
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