On the unit circle below mark and label with an A all the po

On the unit circle below, mark and label with an A all the points where sin(t) = 0.25 mark and label with a B the point you land at by walking t = 115 pi/6 units counter clockwise. For this problem also state the value of tangent at this arc length. mark and label with a C all points where sec(t) = -2. Also, just for this problem, state the solution set to this equation.

Solution

a)
x=rcos(t) , y=rsin(t)
r=1 cos(t) = sqrt( 1 - (0.25)^2)
=> cos(t)= sqrt(0.9375)
x=sqrt(0.9375) and y=0.25
b)
x=cos(115pi/6) => x=-sqrt(3)/2)
y=sin(115pi/6) => y = -1/2