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Sum and Difference of Trig Identities

Authored by Frank Arthur

Mathematics

12th Grade

CCSS covered

Used 3+ times

Sum and  Difference of Trig Identities
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write the following expression as the sine, cosine, or tangent of an angle.
cos(175)cos(55)+sin(175)sin(55)

sin(120)
cos(120)
cos(230)
sin(230)

Tags

CCSS.HSF.TF.C.9

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use Sum or Difference Identities to find the exact value of each expression.
cos(75°)

1/4
√6/4 - √2 / 4
√6 + √2 / 4
-√6/4 - √2 / 4

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

sin 105º

√3/2
-1/4(√2 + √6)
1/4 (√2 + √6)
2-√3

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Please choose the correct sum and difference formula:
cos (α-β) =

sin α cos β + cos α sin β
sin α cos β - cos α sin β
cos α cos β - sin α sin β
cos α cos β + sin α sin β

Tags

CCSS.HSF.TF.C.9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the exact value of the expression.
cos(20)cos(40) - sin(20)sin(40)

1/4
1/2
√(3)/2
√(3)

Tags

CCSS.HSF.TF.C.9

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the exact value of the expression.
sin(5π/12)cos(π/4) - cos(5π/12)sin(π/4)

1/2
-1/2
-√(2)/2
√(3)/2

Tags

CCSS.HSF.TF.C.9

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Given sin α = -3/5, cos α = -4/5 and cos β = (2√5)/5, sin β = (-√5)/5
Please find the sum or difference:
cos (α+β)=

(-11√5)/25
(-2√5)/25
(√2-√6)/4
2

Tags

CCSS.HSF.TF.C.9

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