Find the reference angle for theta 17 pi6 Find the referenc

Find the reference angle for theta = 17 pi/6. Find the reference angle for 310 degree. The reciprocal of sec theta is what? Simplify the following trigonometric expression. The final solution should only contain the sine function.

Solution

4 a) theta = 17pi/6

   = 510 deg

theta = 360 + 150 = 150 deg = 30 deg in Q-II

= pi/6 in Q-II

b) theta = 310 deg

theta = 360 -50 = 50 deg in IVrth quadrant

5i) sec(theta) = 1/cos(theta)

Reciprocal of sectheta = costheta