Solving Trig Equations - Extra Practice

Front

What is the factored form of the equation 0 = sin^2(x) - sin(x)?

Back

0 = sin(x)(sin(x) - 1)

Tags

CCSS.HSA-REI.B.4B

Front

Is csc^2(x) = 2 equivalent to sin^2(x) = 1/2?

Back

True

Tags

CCSS.HSF.TF.C.8

Front

Why does the equation 2cos(x) - 3 = 0 have no solutions?

Back

cos(x) is never bigger than one.

Tags

CCSS.HSF.TF.B.7

Front

What is a good first step to solve the equation tan(x) sin^2(x) = 2 tan(x)?

Back

Subtract 2 tan(x) from both sides and then factor tan(x) out.

Tags

CCSS.HSF.TF.B.7

Front

What should you do first to solve the equation sec^2(x) - sec(x) = 2?

Back

Start by subtracting 2 from both sides and then factor.

Tags

CCSS.HSA-REI.B.4B

Front

What is the range of the sine function?

Back

[-1, 1]

Tags

CCSS.HSF.TF.A.4

Front

What is the range of the cosine function?

Back

[-1, 1]

Tags

CCSS.HSF.TF.A.4

Front

What is the relationship between sec(x) and cos(x)?

Back

sec(x) = 1/cos(x) and is undefined when cos(x) = 0.

Tags

CCSS.HSF.TF.A.2

Front

What is the Pythagorean identity involving sine and cosine?

Back

sin^2(x) + cos^2(x) = 1.

Tags

CCSS.HSF.TF.C.8

Front

What is the definition of tangent in terms of sine and cosine?

Back

tan(x) = sin(x)/cos(x).

Tags

CCSS.HSF.TF.A.2