Sum Difference and Double Angle Trig Identities

Sum Difference and Double Angle Trig Identities

12th Grade

19 Qs

quiz-placeholder

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Sum Difference and Double Angle Trig Identities

Sum Difference and Double Angle Trig Identities

Assessment

Quiz

Mathematics

12th Grade

Hard

CCSS
HSF.TF.C.9

Standards-aligned

Created by

Anthony Clark

Used 1+ times

FREE Resource

19 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Both A and B

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

Using the sum identity for sine, sin(5π/12) = sin(π/4 + π/3) = sin(π/4)cos(π/3) + cos(π/4)sin(π/3) = (√2/2 * √3/2) + (√2/2 * 1/2) = (√6 + √2)/4

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Answer explanation

Using the sum identity for cosine, we have cos(7π/12) = cos(π/3 + π/4) = cos(π/3)cos(π/4) - sin(π/3)sin(π/4) = (sqrt(3)/2 * sqrt(2)/2) - (sqrt(3)/2 * sqrt(2)/2) = -sqrt(6)/4 + sqrt(2)/4 = -sqrt(6 - sqrt(2))/4

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Simplify using double angle identities

A

B

C

D

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the angle sum/difference identity to find the exact value of

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tags

CCSS.HSF.TF.C.9

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