Solving trig equations #1

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TRUE or FALSE:
There is NO SOLUTION to sinθ = -1.

• TRUE
• FALSE

Which is a correct way to solve the equation

cosx(2cosx − 3) = 0?

• divide cos x from both sides

• set each factor equal to 0 and solve

• distribute cosx into the parentheses

• guess and hope for the best

Choose a good way to start solving this equation

tanx sin²x = 2 tanx

• divide tanx from both sides

• factor out tanx

• subtract 2 tanx from the left and then factor tanx out

• cancel sin²x out

Solve on the domain [0, 2π)

4cos²(2x) - 1 = 0

• π/6, π/3, 2π/3, 5π/6

• π/4, 3π/4, 5π/4, 7π/4, 9π/4, 11π/4, 13π/4, 15π/4

• π/6, π/3, 2π/3, 5π/6, 7π/6, 4π/3, 5π/3, 11π/6

• π/8, 3π/8, 5π/8, 7π/8, 9π/8, 11π/8, 13π/8, 15π/8

Solve: 2sin(2x)+4= 3

on the domain [0, 2π)

• 7π/12, 11π/12, 19π/12, 23π/12

• 7π/12, 11π/12

• 2π/3, 5π/6, 5π/3, 11π/6

• π/3, 5π/3

Solve: 3cot(2x) = 5

on the domain [0, 2π)

• 1.06, 2.63, 4.19, 5.77

• 1.30, 2.87, 4.44, 6.01

• 0.52, 2.09, 3.66, 4.98

• 0.27, 1.84, 3.41, 4.98

Solve: 7tan(x/2) = 1

on the domain [0, 2π)

• 0.14

• 0.28

• 0.07

• 0.14, 3.28