Prove that seca+tana=2x, Mathematics

Assignment Help:

If secA= x+1/4x, prove that secA+tanA=2x or  1/2x.

Ans:    Sec? = x +  1/4x

⇒ Sec2? =( x + 1/4x)2                             (Sec2?= 1 + Tan2?)

Tan2? = ( x + 1/4x)2-1

Tan2? = ( x - 1/4x)2

Tan? = + x - 1/4x

Sec? + Tan? = x + 1/4x + x-1/4x

=2x or 1/2x

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