# cos2+sin2=?

Vijay Mukati
6 years ago
Dear Student,

Thanks.
arun
123 Points
6 years ago
see i think you want to simlify $\sin 2+\cos2$
now, $\sin 2+\cos2 = \sin2 + \cos(90-88)$
$\Rightarrow \sin 2+\cos2 = \sin2 + \sin88$
$\Rightarrow \sin 2+\cos2 = 2\sin(\frac{88+2}{2})\cos(\frac{88-2}{2})$
$\Rightarrow \sin 2+\cos2 = 2\sin(45)\cos(43)$
$\Rightarrow \sin 2+\cos2 = \sqrt{2}\cos(43)$
here is your answer that sin2 + cos2 = (square root of 2) cos43
you ask me if your question was different, there is any mistake in my answer or there is any doubt related to this question