Trig Equations

Solve for x : sin(3x) = 1/2

• π/18 + 2πn/3, 5π/18 + 2πn/3, n is any integer

• π/18 + 2πn, 5π/18 + 2πn, , n is any integer

• π/18 + 2πn/3, n is any integer

• π/18 + 2πn, n is any integer

Solve for x in the interval [0, 2π): sinx = sinx cosx

• x=0, 2π

• x=π/2

• x=0

• x=0, π

In Quadrant II, sinx = 3/5. Evaluate sin(2x)

• -12/25

• -24/25

• 24/25

• 12/25

Find the exact value of the cos of 75 degrees

• [sqrt(6) - sqrt(2)] / 4

• [sqrt(6) + sqrt(2)] / 4

• 1/2

• [sqrt(2) - sqrt(6)] / 4

Solve for x in the interval from [0, 2π): cos(x-π) + cos(x+π) = 1

• x = 2π/3 and 4π/3

• x = π/6 and 11π/6

• x = π/3 and 5π/3

• x = π/4 and 3π/4

Write the general form of the solution: 3(tanx)(tanx) + 2tanx - 5 = 0

• x = π/4 + πn

• x = π/4 + πn, arctan(-5) + πn

• x = π/4 + πn, arctan(-5/3) + πn

• x = 3π/4 + πn

Solve for x in [0, 2π): 3(sinx)(sinx) - (cosx)(cosx) = 2

• x = π/6, 5π/6, 7π/6, 11π/6

• x = π/3, 2π/3, 4π/3, 5π/3

• x = π/3, 2π/3

• x = 0, π/3, 2π/3, π/2

Simplify: secx [cos(2x) + (sinx)(sinx)]

• cosx

• sinx

• tanx

• secx

Simplify sqrt(x*x + 16) by substituting x = 4 tan𝜃

• 4tan𝜃

• 4cos𝜃

• 4tan𝜃 + 4

• 4sec𝜃

Evaluate tan(2u) given cos u = 12/13 and u lies in Quadrant IV

• -120/119

• -70/67

• -5/2

• -20/83