Prove that cosA/cosA-sinA = 1/1-tanA

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ajju | College Teacher | (Level 1) Adjunct Educator

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Take left hand side = cos A / (cos A – sin A) 

First we divide numerator and denominator by cos A: 

Than {cos A/ cos A} / {(cos A – sin A) / cos A}

= 1 / [1 – (sin A)/(cos A)] 

= 1 / (1 – tan A) = Right hand side

Hence cosA/cosA-sinA = 1/1-tanA

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