A pendulum swings from a 30-degree angle on one side to a 30-degree angle on the other side, covering a total arc of 60 degrees. How many radians does the pendulum swing through in total?

A) \$pi/2\$

B) \$pi/5\$

C) \$pi/6\$

D) \$pi/3\$

A 12-meter tall building casts a 16-meter long shadow on level ground. Find the angle, in degrees, that the sun makes with the ground (use the appropriate inverse trigonometric function).

A) 30.96 degrees

B) 45 degrees

C) 36.87 degrees

D) 60 degrees

Determine the exact solutions for the equation \$ 2cos^2θ - 3cosθ + 1 = 0 "within the interval" 0 le θ < 2π \$.

A) \$ pi, pi/6, (7pi)/3 \$

B) \$ pi/2, pi/4, (3pi)/4 \$

C) \$ pi/2, pi/4, (3pi)/4, (5pi)/4 \$

D) \$ 0, 2pi, pi/3, (5pi)/3 \$

In triangle CDE, angle C measures 50°, angle D measures 70°, and side CE measures 10 m. Find the lengths of sides CD and DE.

A) CD = 8.84 m and DE = 10.84 m

B) CD = 8.48 m and DE = 10.48 m

C) CD = 8.48 m and DE = 10.84 m

D) CD = 8.84 m and DE = 10.48 m

Prove that \$4 (2 tan^-1(1/3) + tan^-1 (1/7)) = (pi)\$.

A) 1

B) Proved

C) Zero

D) Not proved