Question
Asked Oct 10, 2019
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 Verify the folowing equation is an identity with work shown

cos(x)/sin(x)+sin(x)/cos(x)+csc(x)/sec(x)=(sec(x)+cos(x))/sin(x)

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Expert Answer

Step 1

Given equation is

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(sec x +cos.x) cos.r sin r cscr sin xcosr secr sin r

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Step 2

To verify the identity , start from left hand side of the equation .

Use trigonometric ratios csc(x)= 1/sinx and sec(x)= 1/cos(x)

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cos.r sinr csc r + sin x cos.x secr 1 cos.x sinx sin x + 1 sin x cosx cos.x cos x sinx 1 cos.x sin x cos.r sin x 1 cos.r sin x cos.x sinx cosr sin x cos.r sinr 2 sinxcosx

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Step 3

Take LCD sinx cosx and si...

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2cos.r(cos.x) sinx(sin x) sin x (cos.x) cos.x(sin x) 2cos2 x sin2 x sin r(cosx) cos.x(sin x) 2 cos2x+sinx sin x(cos.x)

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