Solving Trig Equations

Front

What is the general solution for the equation sin(x) = 0?

Back

x = nπ, where n is any integer.

Tags

CCSS.HSF.TF.B.7

Front

What is the solution for sin(x) = 1 within the interval [0, 360°]?

Back

x = 90°.

Tags

CCSS.HSF.TF.B.7

Front

What angles correspond to cos(θ) = -√(3)/2 in the interval [0, 2π)?

Back

θ = 5π/6, 7π/6.

Tags

CCSS.HSF.TF.B.7

Front

What is the solution for sin(x) = 1/2 within the interval [0, 360°]?

Back

x = 30°, 150°.

Tags

CCSS.HSF.TF.B.7

Front

What is the general solution for the equation tan(x) + 1 = 0?

Back

x = (2n + 1)π/4, where n is any integer.

Tags

CCSS.HSF.TF.B.7

Front

What are the values of x for tan(x) = -1 in the interval [0, 2π)?

Back

x = 3π/4, 7π/4.

Tags

CCSS.HSF.TF.B.7

Front

What is the range of the sine function?

Back

[-1, 1].

Tags

CCSS.HSF.IF.A.1

Front

What is the range of the cosine function?

Back

[-1, 1].

Tags

CCSS.HSF-IF.C.7E

Front

What is the period of the sine function?

Back

2π.

Tags

CCSS.HSF.TF.A.4

Front

What is the period of the cosine function?

Back

2π.

Tags

CCSS.HSF.TF.A.4