Evaluate secsin135 A central angle is drawn in a circle of r

Evaluate: sec(sin^-1(-3/5)) A central angle is drawn in a circle of radius 4 inches so that the intercepted arc is 16 inches. What is the radian measure of the angle? Graph y = 3 sin 2x from x = 0 to x = 2 pi. cos theta = 12/13 and theta is in quadrant IV. What is cot theta?

Solution

Sec(sin^-1(-3/5))

sin^-1(-3/5)=t

Sin t=-3/5

sec t=5/4

sec(sin^-1(-3/5))=5/4

5. theta=arc length/radius=16/4=4 radians