Question

1/cos - cos = tan*sin​

Answer 1

Answer:

Step-by-step explanation:

1/cos-cos=tan*sin

L.H.S=1/cos-cos

Take L.C.M then,(1-cos²)/cos

⇒sin²/cos                                            (∵sin²+cos²=1)

⇒(sin/cos)*sin

⇒tan*sin⇔R.H.S

Hope it is useful.All the best.

Answer 2

Answer:

$\frac{1}{cos \alpha } - cos \alpha$

$= \frac{1 - {cos}^{2} \alpha }{cos \alpha }$

$= \frac{ { \sin}^{2} \alpha }{ \cos( \alpha ) }$

$= \frac{ \sin\alpha \times \sin\alpha }{ \cos\alpha }$

$= \tan \alpha \cos \alpha$

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