A central angle theta subtends an arc measuring 245 inches i

A central angle theta subtends an arc measuring 245 inches in a circle of radius 120 inches. Find the radian measure of angle theta. Measure of theta (in radians) = _______________ Using your Knowledge of inverses, evaluate: tan(cos^-1(- squareroot3/2))

Solution

1) As we know that

S = R*theta

245 = 60*theta

Theta = 245/60 = 4.083 radian

2) Tan[cos^-1(-sqrt(3)/2)] = tan(150) = -1/sqrt(3)