Question

prove that cos theta/1- tan theta+sin^2 theta/(cos theta-sin theta)=costheta +sin theta​

Answer 1

Step-by-step explanation

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Answer 2

Correct Question

• $\tt\dfrac{Cos\theta}{1-tan\theta}+\dfrac{Sin^2\theta}{-Cos\theta+Sin\theta}$

✪AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• A Trigonometry
• $\tt\dfrac{Cos\theta}{1-tan\theta}+\dfrac{Sin^2\theta}{-Cos\theta+Sin\theta}$=Cos∅+sin∅

${\sf{\green{\underline{\large{To\:proof}}}}}$

• LHS =RHS

${\sf{\pink{\underline{\Large{Proof}}}}}$

• First step is Break tan∅ in sin∅ or cos∅
• Taking LCM
• Breaking into (a+b) (a-b)

See the attachment

☞LHS=RHS (verified)