Solving Trig Equations and Identities

Which of these are equal to 1? (Check all that apply)

• sin²(θ) + cos²(θ)

• sec²(θ) - tan²(θ)

• csc²(θ) - cot²(θ)

• tan²(θ) - cos²(θ)

Solve on the interval [0,360)
2cosx-1=0

• 60,120

• 60, 240

• 120, 240

• 60, 300

Solve: 2cscθ + 2 = 0

State all solutions in the interval [0, 2π)

• π/2, 3π/2

• π/2

• 3π /2

• π

• A
• B
• C
• D

• A
• B
• C
• D

Hint: Are the terms in the best order??

• A

• B

• C

• D

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

• I have no idea

On the domain [0, 2π), solve this equation 0 = sinx(sinx − 1)

• 0, π

• 0, π, ½π

• ½π

• 0, 90, 270

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

• π / 3

• 2π / 3

• 5π / 3

• 7π / 3

Solve for x

don't forget cot = cos/sin

• π

• π/3

• π/2

• -π