Loading [MathJax]/jax/output/HTML-CSS/jax.js
Home / Aptitude Tests / Mathematics / Show that \(\frac{\s...
Show that sin2x1+cosx + \(\frac{sin2 x}{1...

Show that sin2x1+cosx + sin2x1cosx is

A.

sin x

B.

cos2x

C.

2

D.

3

Correct answer is C

sin2x1+cosx+sin2x1cosx

sin2x(1cosx)+sin2x(1+cosx)1cos2x

= sin2xcosxsin2x+sin2x+sin2xcosxsin2x

(Note: sin2x+cos2x=1).

= 2sin2xsin2x

= 2.