Ch. 5 Trigonometric Identities QUIZ

Factor 0 = sin²x − sinx

• 0 = sinx(sinx)

• 0 = sinx(1 − sinx)

• 0 = cosx(sinx − 1)

• 0 = sinx(sinx − 1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

On the domain [0, 2π), solve this equation

0 = sinx(sinx − 1)

• 0, π

• 0, π, ½π

• ½π

• 0, 90, 270

Simplify

sec²(x) - tan²(x)

• tan(x)

• 1

• -sin(x)

• -1

Simplify

(sec²x)(1 - sin²x)

• -cos(x)

• 1

• -1

• -sin(x)

Simplify

cot(x)tan(x) + cot²(x)

• -cot(x)

• csc²(x)

• sec(x)

• -csc²(x)

Solve on the domain [0, 2π)
 $\sin\theta=\frac{1}{2\ }$  

• θ = $\frac{\pi}{6},\ \ \frac{7\pi}{6}$

• θ = $\frac{\pi}{6},\ \ \frac{5\pi}{6}$

• θ = $\frac{5\pi}{6},\ \ \frac{7\pi}{6}$

• θ = $\frac{7\pi}{6},\ \ \frac{11\pi}{6}$

Solve on the domain [0, 2π)

cos²θ = ½

• θ = π /4, 7π /4

• θ = π /4, 3π /4

• θ = 3π /4, 5π /4

• θ = π /4, 3π /4, 5π /4, 7π /4

Solve on the domain [0, 2π)

1/2sec x - 1 = 0

• π/6, 5π/6

• π/3, 5π/3

• 2π/3, 4π/3

• 7π/6, 11π/6

Solve on the domain [0, 2π)
4sin²x = 3

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

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.TF.A.3

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
cos² x + sin x + 1 = 0

• π
• 3π/2
• π/6, 5π/6, 3π/2
• No solution

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4