Question

express cosA and tanA in terms of sinA

Answer 1

tanA = sin2A/1+cos2a or 1-cos2A / sin2A

cosA = 1-2sin²A/2



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Answer 2

We know that Sin²A + Cos²A = 1

⇒ Cos²A = 1 - Sin² A

⇒ $CosA = + or - \sqrt{1 - Sin^2A}$

We know that TanA = SinA/CosA

But We found that :

$CosA = + or - \sqrt{1 - Sin^2A}$

⇒ $TanA = + or - \frac{SinA}{\sqrt{1 - Sin^2A}}$