Question

prove that sin²theta/cos theta+cos theta = sec theta​

Answer 1

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Answer 2

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

$By \: Trigonometric \: Identity : \\\boxed { \pink { sin^{2}\theta + cos^{2} \theta = 1 }}$

$= sec \theta \\= RHS$

Therefore.,

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

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