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Good Evening FriendsPlease solve the question !!!CLASS -XMATHSCH - TRIGONOMETRY❎ No Spamming ❎

Answer»

Here, I am WRITING θ as A for BETTER UNDERSTANDING!.

=>Given:\frac{1-cosA}{1+cosA}

=>\frac{1-cosA}{1+cosA}*\frac{1-cosA}{1-cosA}

=>\frac{(1-cosA)^2}{1^2-cos^2A}

=>\frac{1+cos^2A-2cosA}{1-cos^2A}

=>\frac{1+cos^2A-2cosA}{sin^2A}

=>\frac{1}{sin^2A}+\frac{cos^2A}{sin^2A}-\frac{2cosA}{sin^2A}

=>cosec^2A+cot^2A-\frac{2}{sinA}* \frac{cosA}{sinA}

=>cosec^2A+cot^2A-2cosecAcotA

=>\boxed{(cosecA-cotA)^2}


HOPE it HELPS!



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