Question

prove that 1 minus sin theta by 1 + sin theta is equal to secant theta minus tan theta whole square ​

Answer 1

Answer:

1-sinA/1+sinA

Rationalising the denominator

(1-sinA) (1-SinA) /1+sinA(1-SinA)

(1-SinA)²/ 1² -(Sin²A)

(1-SinA)²/ 1 -(Sin²A)

(1-SinA)² /Cos² A

[ 1 -Sin²A = cos²A]

(1-SinA/CosA)²

(1/CosA-SinA/CosA)²

(SecA-tanA)²

L.H S = R H.S

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