Question

sin theta equals to 1 upon 2 find cos theta​

Answer 1

Step-by-step explanation:

Given that

$\sin( \alpha ) = \frac{1}{2}$

Therefore by Pythagoras Theorem

${2}^{2} = {1}^{2} + {x}^{2} \\ {2}^{2} - {1}^{2} = {x}^{2} \\ 4 - 1 = {x}^{2} \\ 3 = {x}^{2} \\ x = \sqrt{3}$

Therefore the 3rd side is

$\sqrt{3}$

This implies that

$\cos( \alpha ) = \frac{ \sqrt{3} }{2}$