Question

Complete the following table without using your calculator:
theta = 30 degrees
sin theta =?
cos theta = ?
tan theta = ?

Answer 1

take the square root of each.
also tan=sin/cos

Answer 2

In a 30 degree right triangle, the side opposite the 30 degree angle is 1/2 the length of the hypotenuse.
Let the hypotenuse length be one, 1 . Then the sine of 30 deg is (1/2)/1 or 1/2
The cosine is the length of the third side or
\[\sqrt{1^2-\left(\frac{1}{2}\right)^2}=\frac{\sqrt{3}}{2} \]The Tangent is the ratio of the sine to the cosine.