Math, asked by zeus6, 1 year ago

prove that (cosA)/(1+tanA)-(sinA)/(1+cotA)=cosA-sinA​

Answers

Answered by Anonymous
8
hey mate!

cosA/(cos +sinA)/cosA - sinA/(cosA+sinA)/sinA

= cos^2A - Sin^2A/ cosA + SinA

= (cosA - SinA) (cosA+SinA) / (cosA+sinA)

= CosA - SinA

hope it helps!

#JaiHind

zeus6: dude
Anonymous: any doubt ?
zeus6: how did CosA/cosA+sinA /cosA became cos^2a/cosA+sinA
zeus6: it is 1/cosA+sinA no
zeus6: it is like 6/3/2
zeus6: 6/3*1/2
zeus6: that is 2*1/2
Anonymous: tanA is written as sinA/CosA
zeus6: 1 not 6/3*2
zeus6: dude
Answered by jdmikkili7
0

Answer:

It is proved by following process

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