Question

1 - sin theta / 1 + sin theta = (sin theta - tan theta)²​

Answer 1

Answer:

Hi

Step-by-step explanation:

1-sintheta/1+sintheta=(sintheta-tantheta)²

We take LHS and prove that is equal to RHA

By rationalising the denominator we get,

1-sintheta/1+sintheta×1-sintheta/1-sintheta

(1-sintheta)²/1²-sin²theta

(1-sintheta)²/1-sin²theta

(1-sintheta)²/cos²theta[By using the identity cos²theta=1-sin²theta]

(1-sintheta/costheta)²

Now LCM,

(1/sintheta-costheta/sintheta)²

(cosectheta-tantheta)²

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