Find the radian measure corresponding to – 37⁰ 30’.

The minute hand of a clock is 10 cm long. How far does the tip of the hand move in 20 minutes?

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25⁰ in a distance of 40 meters?

Find the minimum and maximum values of sin² θ + cos² θ

Evaluate: sin (1560⁰).

Evaluate: cos  (–3030⁰).

If sin = 8/17 and cos β = 9/41, find sin (θ + β), cos (θ + β), sin (θ – β) and cos (θ – β), where θ is an obtuse angle and β is an acute angle.

The equation (cos p – 1)x² + (cos p)x +sin p = 0, where x is a variable, has real roots. Then the interval of p may be any one of the following: