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cos^2A +1/1+cot^2A =1

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cos^2A +1/1+cot^2A =1

Posted by Khushboo Kataria 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Rajan Kumar Pasi 6 years, 5 months ago

Please learn the trigonometric formulae, this is a very simple question to ask .

{tex}\large Question: \space To\space prove:cos^2A +\frac{1}{1+cot^2A} =1?{/tex}

{tex}\large{ Solution\implies LHS \implies cos^2A +\frac1{1+cot^2A} }{/tex}

{tex}\large{ \big(1+cot^2A = cosec^2A \big) }{/tex}

{tex}\large{ \implies cos^2A +\frac1{\underline {1+cot^2A}}\implies cos^2A+\frac 1 { cosec^2A} }{/tex}

{tex}\large{ \big(\frac1{cosec\space A} = sin\space A \big)\\ \big(\frac1{cosec^2A} = sin^2A \big) }{/tex}

{tex}\large{ \implies cos^2A+sin^2A }{/tex}

{tex}\large{ \big(cos^2A+sin^2A=1 \big) }{/tex}

{tex}\large{Ans \implies \boxed1 }{/tex}

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Posted by Hari Anand 6 months, 1 week ago

CBSE > Class 10 > Mathematics