Trig Proofs

Please select the correct solution

• csc² x
• cot² x
• sin² x
• sec² x

Tags

CCSS.HSF.TF.C.8

Simplify

• -1
• sin θ
• csc θ
• 1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.TF.C.8

CCSS.HSF.TF.C.9

Simplify (Hint: you will need to multiply first)

• sinθ

• cot²θ

• tan²θ

• cos²θ

Simplify:  tanxcotx-cos²x

• tanx
• cotx
• sin²x
• cos²x

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Is this a pythagorean identity?
tan²x + 1 = secx

• Yes
• No

Tags

CCSS.HSF.TF.C.8

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

• π / 3
• 2π / 3
• 5π / 3
• 7π / 3

Tags

CCSS.HSF.TF.B.7

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

Tags

CCSS.HSF.TF.B.7

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

Tags

CCSS.HSF.TF.B.7

Solve 2cos²θ -1=0 for all values

• θ = π /4+2πn, 7π /4+2πn

• θ = π /4+2πn, 3π /4+2πn

• θ = 3π /4+2πn, 5π /4+2πn

• θ = π /4+2πn, 3π /4+2πn, 5π /4+2πn, 7π /4+2πn

Tags

CCSS.HSF.TF.B.7

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

Tags

CCSS.HSF.TF.B.7