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Prove that (1+cotA+tanA)(sinA-cosA)=secA/cosec^2A-cosecA/sec^2A=sinAtanA-cosAcotA

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asked Feb 15, 2018 in Mathematics by Kundan kumar (49,132 points) ● 34 ● 381 ● 1016

Prove that (1+cotA+tanA)(sinA-cosA)=secA/cosec2A-cosecA/sec2A=sinAtanA-cosAcotA

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answered Feb 15, 2018 by Vikash Kumar (144,729 points) ● 8 ● 11 ● 21
 
Best answer

  L.H.S = R.H.S

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answered Feb 15, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 15

(cos 0° + sin 45° + sin 30°)(sin 90° − cos 45° + cos 60°) …(i)
By trigonometric ratios we have

By substituting above values in (i), we get

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