Question

If SecQ x+1/4x prove that secQ+tanQ = 2x or 1/2x

Answer 1

Answer:

Step-by-step explanation:

Let’s take theta = A

Also square is represented by *

SecA = x+1/4x

S.B.S

Sec*= x*+1/16x*+1/2

We know sec^2 = 1+ tan*A

1+tan* = x* + 1/16x* +1/2

Tan*A = x* + 1/16x*+1/2-1

Tan*A = x* + 1/16x*-1/2

Tan*A = ( x- 1/4x)*

TanA = +- ( x-1/4x)

TanA = -x+1/4x , x-1/4x

So according to this

SecA + TanA = x-1/4x +x +1/4x

= 2x

Also Seca + tanA = -x+1/4x+ 1/4x+x

= 1/2x