Simplest form of \frac{1 + \tan^2 A}{1 + \cot^2 A} is ________.... | MCQ 1m | Maths | SuperPadhai

Introduction To Trigonometry > Question

MCQ1 markYear: 2020EasyCBSE Class 10

trigonometryidentitiessimplification

Question

Simplest form of

\frac{1 + t a n ^{2} A}{1 + c o t ^{2} A}

is ________.

Solution

1

\frac{1 + t a n ^{2} A}{1 + c o t ^{2} A} = \frac{s e c ^{2} A}{c s c ^{2} A} = \frac{s i n ^{2} A}{c o s ^{2} A} = tan^{2} A

+1 mark

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