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Solving Trigonometric Identity Equations

Authored by Barbara White

Mathematics

9th - 12th Grade

CCSS covered

Solving Trigonometric Identity Equations
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the following for cos2θ:
sin2θ + cos2θ = 1

cos2θ = 1 - sin2θ
cosθ = 1 + sin2θ
cosθ = 1 - sinθ
cos2θ = Adj/hyp

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the following for tan2θ:
1 + tan2θ = sec2θ 

tan2θ = sec2θ + 1
tan2θ = sec2θ - 1
tanθ = secθ - 1
tan2θ = opp/adj

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite tan(x) in terms of sin(x) and cos(x).

tan(x) = cos(x)/sin(x)
tan(x) = 1/cot(x)
tan(x) = sin(x)/cos(x)
tan(x) = opp/adj

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Please select the correct solution

csc2 x
cot2 x
sin2 x
sec2 x

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Please select the correct solution cos 2 x + sin 2 x=  

1
csc 2 x + sec 2 x
sin 2 x
1 - sin 2 x

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Please select the correct solution

csc x
sec x
cot x
tan x

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Simplify

sin²θ
cosθ
tanθ
1- sin²θ

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