Simplifying and Solving Trig Equations

Factor 0 = sin²x − sinx

• 0 = sinx(sinx)

• 0 = sinx(1 − sinx)

• 0 = cosx(sinx − 1)

• 0 = sinx(sinx − 1)

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

• 0, π

• 0, π, ½π

• ½π

• 0, 90, 270

tan(x)+1=2

• 0 and π

• 3π/4 and 7π/4

• π/4 and 5π/4

• 3π/4 and 5π/4

Simplify

• -1

• sin θ

• csc θ

• 1

Simplify:  tanxcotx-cos²x

• tanx

• cotx

• sin²x

• cos²x

Simplify (Hint: you will need to multiply first)

• sinθ

• cot²θ

• tan²θ

• cos²θ

• A
• B
• C
• D

• A
• B
• C
• D

Solve
cosθ = - √(3)/2  
on θ∈[0, 2π)

• θ = π /3, 2π /3

• θ = 2π /3, 4π /3

• θ = π /6, 5π /6

• θ = 5π /6, 7π /6

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6

• θ = π / 6,  5π / 6

• θ = 5π / 6,  7π / 6

• θ = 7π / 6,  11π / 6