Question

solve this-

cosQ/1-sinQ +cosQ/1+sinQ =4​

Answer 1

Answer:

SinQ - CosQ + 1 / SinQ + CosQ - 1 = 1/SecQ - TanQ

LHS = SinQ/CosQ - CosQ/CosQ + 1/CosQ / SinQ/CosQ + CosQ/CosQ - 1/Cos . ( dividing the whole LHS by CosQ)

= (TanQ + SecQ) - 1 / (TanQ - SecQ) + 1

= {(TanQ + SecQ) - 1} (TanQ - SecQ) / {(TanQ - SecQ) + 1} ( TanQ - SecQ). {Multiplying the numerator and denominator by (TanQ - SecQ)}

= (Tan^2Q - Sec^2Q) - ( TanQ - SecQ) / (TanQ - SecQ + 1) ( TanQ - SecQ). ( Here I have just multiplied numerator wholly)

= -1 - (TanQ - SecQ) / (TanQ - SecQ) (TanQ - SecQ + 1)

= -1/TanQ - SecQ = 1/SecQ - TanQ . { by cancelling (TanQ - SecQ) we get this }

LHS = RHS ( Hence Proved)

Answer 2

Answer:

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