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Trigonometry problem class 10 level Prove that. tan/1-cot+cot/1-tan=(1+sec cosec)

Trigonometry problem class 10 level
Prove that.   tan/1-cot+cot/1-tan=(1+sec cosec)

Grade:10

1 Answers

Shailendra Kumar Sharma
188 Points
4 years ago
=tan/1-cot+cot/1-tan
Using tanA=SinA/cosA and cotA =cosA/sinA
this way 
{Sina/CosA}/{1-cosA/sinA) -{cosA/SinA}/{1-sinA/cosA)
 
 
sinA*{Sina/CosA}/{sinA-cosA) –  cosA*{cosA/SinA}/{CosA-sinA)
 
{sinA*(Sina/CosA)}/{sinA-cosA) –  {cosA*(cosA/SinA)}/{CosA-sinA)
(Sin3A-Cos3A)/{sinA-cosA)
(SinA-CosA)(Sin2A+Cos2A +sinAcosB)/(sinA-cosA)
=1+1/secACosecA

 

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