Let P t be the point on the unit circle U that corresponds t

Let P (t) be the point on the unit circle U that corresponds to t. If P (t) has the coordinates (21/29, 20/29), find P(t + pi), P(t - pi), P(-t), P(-t - pi). Enter your answer as an ordered pair in the form (x, y). Do not convert fractions to decimal form. P(t + pi) = P(t - pi) = P(-t) = P(-t - pi) = Find the exact values of the six trigonometric functions of theta if theta is in standard position and P is

Solution

Given P(t)=(21/29, 20/29) which is in the first quadrant
Now P(t+pi) is Adding pi and get to III quadrant where both x and y are negative, so
Therfore P(t+pi)=(-21/29, -20/29)
Now P(t-pi)= is also in III Quadrant=(-21/29, -20/29)
P(-t) = IV Quadrant= (21/29, -20/29)
P(-t-pi) = II Quadrant = (-21/29, 20/29)