Solving with Trigonometric Identities

Solving with Trigonometric Identities

11th - 12th Grade

17 Qs

quiz-placeholder

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Solving with Trigonometric Identities

Solving with Trigonometric Identities

Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.B.7, HSF.TF.C.8, HSA.APR.C.4

Standards-aligned

Created by

LAUREN CANON

Used 2K+ times

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17 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve on the Interval [0,2π)

tan(x)+1=2

0 and π

3π/4 and 7π/4

π/4 and 5π/4

3π/4 and 5π/4

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve

cos2θ = ½

on θ∈[0, 2π)

θ = π /4, 7π /4

θ = π /4, 3π /4

θ = 3π /4, 5π /4

θ = π/4, 3π/4, 5π/4, 7π/4

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

5 mins • 2 pts

Media Image

No solution
π/3 +2πn, 5π/3 +2πn
π/6 +2πn, 11π/6 +2πn
2π/3 +2πn, 4π/3 +2πn

Tags

CCSS.HSF.TF.B.7

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

A
B
C
D

Tags

CCSS.HSF.TF.B.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the solution over the interval [0, 2π)

0, π, π/6, 5π/6,
0, π/6, 7π/6
π, 5π/6, 11π/6
π, π/6, 5π/6, 7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Hint: Are the terms in the best order??

A
B
C
D

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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