Question #c15b7

1 Answer
Mar 21, 2017

3/2, or. 1.5.32,or.1.5.

Explanation:

First of all, we see that, the

Expression= cos^2(pi/12)+2cos(pi/12)sin(pi/12)+sin^2(pi/12)=cos2(π12)+2cos(π12)sin(π12)+sin2(π12)

Now, knowing that, cos^2theta+sin^2theta=1, and, cos2θ+sin2θ=1,and,

2costhetasintheta=sin(2theta),2cosθsinθ=sin(2θ), we have,

The Exp.=1+sin(2(pi/12))=1+sin(2(π12))

=1+sin(pi/6)=1+sin(π6)

:." The Exp.="1+1/2=3/2=1.5.

Enjoy Maths.!