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Deriving Trig Equations

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Deriving Trig Equations
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14 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of these is equivalent to 2cos2x − 3cosx = 0 ?

-cos2x = 0

cosx(2cosx + 3) = 0

cosx(2cosx − 3) = 0

cos x = ⅔

Tags

CCSS.HSF.TF.B.7

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which is a correct way to solve the equation

cosx(2cosx − 3) = 0?

divide cos x from both sides

set each factor equal to 0 and solve

distribute cosx into the parentheses

guess and hope for the best

Tags

CCSS.HSF.TF.B.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

To solve this equation, cos2x + sinx = 1, replace cos2x with

1/(sec2x)

sin2x − 1

1 − sin2x

1 + tan2x

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Organize this equation so it can be factored:

1−sin2x + sinx = 1

move all to the right: 0 = sin2x − sinx

cancel the ones and cancel a sinx

replace sin2x with 1 − cos2x

use this: 0 = sin2x − sinx + 2

Tags

CCSS.HSA.REI.C.7

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Factor 0 = sin2x − sinx

0 = sinx(sinx)

0 = sinx(1 − sinx)

0 = cosx(sinx − 1)

0 = sinx(sinx − 1)

Tags

CCSS.HSF.TF.B.7

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the general solution of the equation.

π/4+2πpn

π/4+2πn; 7π/4+2πpn

7π/4+2πpn

π/4, 7π/4

Tags

CCSS.HSF.TF.B.7

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the general solution of the equation.

0

2πn

No Solution

Tags

CCSS.HSF.TF.B.7

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