The measure 0 of an angle in standard position is given. Find the exact values of cos 0 and sin 0 for the angle measure.
7π/4 radians
To find the exact values of cos 0 and sin 0 for an angle measure of 7π/4 radians in standard position, we can use the unit circle.
The angle 7π/4 radians is equivalent to 315 degrees.
On the unit circle, the point that corresponds to this angle is located in the fourth quadrant.
To find cos 0, we look at the x-coordinate of the point on the unit circle. In the fourth quadrant, the x-coordinate is positive, so cos 0 = cos(7π/4) = 1/√2.
To find sin 0, we look at the y-coordinate of the point on the unit circle. In the fourth quadrant, the y-coordinate is negative, so sin 0 = sin(7π/4) = -1/√2.