Find the solution to the equation \$tan(2x) = 0\$ on (0, 2π).

A) \$(pi)/2, pi, (3pi)/2\$

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

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

D) \$(-pi) , (3pi)/2, (-2pi)\$

Identify the general solution to the equation: \$cot ^3 θ + 3 cot^2 θ + 6 = - 2 cot θ\$.

A) \$ θ = arctan(5/3) + 3kpi \$, such that k is an integer.

B) \$ θ = arc cot(- 1/3) + kpi \$, such that k is an integer.

C) \$ θ = arc cot(- 3 + \sqrt2) + 2kpi \$, such that k is an integer.

D) \$ θ = arctan(- 1/3) + kpi \$, such that k is an integer.

Solve the equation \$cot(θ/2) * (1 - cos(θ)) = \sqrt2/2 \$, 0° ≤ θ < 180°.

A) \$ pi/2, (3pi)/2 \$

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

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

D) \$ 0, 2pi \$

Given that an angle measures \$(3 pi)/4\$ radians, what is its degree measure?

A) 180

B) 90

C) 135

D) 270

Solve triangle UVW, given u = 10, v = 20, and w = 30. Find the angle U , V and W?

A) A = 180°, B = 180° and C = 180°

B) A = 0°, B = 360° and C = 180°

C) A = 0°, B = 10° and C = 180°

D) A = 0°, B = 0° and C = 180°

An inscribed angle in a circle intercepts an arc that measures 111 degrees. What is the measure of the inscribed angle in radians?

A) \$ (73pi)/60 \$

B) \$ (47pi)/120 \$

C) \$ (37pi)/120 \$

D) \$ (37pi)/60 \$

Find the exact value of \$ arctan(1) + arccos( - \sqrt2 / 2)\$.

A) \$ pi \$

B) \$ pi/3 \$

C) \$ pi/2 \$

D) \$ 2pi \$

A gear rotates 120 degrees. What is the angle in radians covered by the gear?

A) \$ (5pi)/3 \$

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

C) \$ 4/3 \$

D) \$ (7pi)/3 \$

Triangle MNO has side lengths MN = 16 units, NO = 18 units, and MO = 20 units. Find the measure of angle M.

A) 66.12°

B) 76.12°

C) 66.42°

D) 76.52°

If \$ arcsin(x) = pi/6 \$, find \$ cos( arccos (\sqrt3/2) - arcsin( - 1/2))\$.

A) \$ 1/2\$

B) \$- 1/2\$

C) \$ (2\sqrt3)/2\$

D) \$ \sqrt2/2\$