Question

The value of cos 20°+2 sin^2 55° - root 2 sin 65° is​

Answer 1

Answer:

$\mathrm{Least\:Common\:Multiplier\:of}\:\cos \left(20^{\circ \:}\right)+2\sin ^2\left(55^{\circ \:}\right)-,\:2\sin \left(65^{\circ \:}\right):\quad 2\sin \left(65^{\circ$

$\:}\right)\left(2\sin ^2\left(55^{\circ \:}\right)+\cos \left(20^{\circ \:}\right)\right)$

Step-by-step explanation:

$\cos \left(20^{\circ \:}\right)+2\sin ^2\left(55^{\circ \:}\right)-,\:2\sin \left(65^{\circ \:}\right)$

$\mathrm{Compute\:an\:expression\:comprised\:of\:factors\:that\:appear\:either\:in\:}\cos \left(20^{\circ \:}\right)+2\sin ^2\left(55^{\circ \:}\right)$$\mathrm{\:or\:}2\sin \left(65^{\circ \:}\right)$

$=2\sin \left(65^{\circ \:}\right)\left(2\sin ^2\left(55^{\circ \:}\right)+\cos \left(20^{\circ \:}\right)\right)$