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| 1. |
cos^2A +1/1+cot^2A =1 |
| Answer» 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} | |