Question

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Answer 1

Look at the attachment fir unit circle

• Co-ordinates lies in first quadrant
• All positive so cos is positive

$\\ \rm\Rrightarrow cos(\pi/6)$

$\\ \rm\Rrightarrow cos30$

$\\ \rm\Rrightarrow \dfrac{\sqrt{3}}{2}$

Answer 2

Answer:

Step-by-step explanation:

By definition, cos(pi/6) = adjacent side / hypothesis

On a unity circle, at the point (sqrt(3)/2, 1/2), the adjacent side is sqrt(3)/2 and the hypothesis is 1 (as it is a unity circle.)

So cos(π/6) = (sqrt(3)/2) / 1

= $\sqrt{3} /2$