Question

Evaluate (cos 0degree +sin45segree+sin30degree) (sin90degree- cos45degree+ cos60degree)

Answer 1

Answer

ROOT 2

Step-by-step explanation:

Since,

=(1+1/root 2+1/2)-(1-1/root 2+1/2)

Therefore,

=1+1/root 2+1/2-1+1/root 2-1/2

=1/root 2+1/root 2

=2/root 2

Rationalizing the denominator,

=2/root 2*root 2/root 2

Thus,

=2*root 2/root 2*root 2

=2*root 2/2

Therefore the answer is root 2