Complete the table, which shows the EXACT values (if possible) of the sine, the cosine and the tangent of some common angles. (If an answer is undefined, enter UNDEFINED.)

Question

Complete the table, which shows the EXACT values (if possible) of the sine, the cosine and the tangent of some common angles. (If an answer is undefined, enter UNDEFINED.)

𝜃 in radians0𝜋/6𝜋/4𝜋/3𝜋/2
sin 𝜃	0
cos 𝜃
tan 𝜃

Answer 1

You will need to memorize the unit circle. The answers to this question can be read right off of the unit circle. If you don't have one to memorize from, google "unit circle". The point on the unit circle associated with each angle correspond the the sine and cosine of the angle. The x-coordinate of the point is the cosine of that angle. The y-coordinate of the point is the sine of that angle.

Example, the point on the unit circle at zero degrees is (1, 0) therefore cos(0) = 1 (the x-coordinate) and sin(0) = 0 (the y-coordinate).