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Prove that (sin5A- sin3A)/(cos 5A +cos...

Prove that
`(sin5A- sin3A)/(cos 5A +cos 3A)= tanA`

Text Solution

Verified by Experts

We have,
LHS = `(sin5A-sin3A)/(cos5A+cos3A)`
`=(2sin(5A-3A)/2cos(5A+3A)/(2))/(2cos (5A+3A)/(2)cos(5A-3A)/(2)) = (2sinAcos4A)/(2cos4AcosA)=tanA`=RHS
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AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section - J (Akash Challengers Question)
  1. Prove that (sin5A- sin3A)/(cos 5A +cos 3A)= tanA

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