Solving Trig Equations #1

Front

What is the general solution for the equation tan x = -1?

Back

x = \frac{3\pi}{4} + n\pi, n \in \mathbb{Z}

Tags

CCSS.HSF.TF.B.7

Front

What angles correspond to cosθ = -√(3)/2?

Back

θ = \frac{5\pi}{6}, \frac{7\pi}{6}

Tags

CCSS.HSF.TF.B.7

Front

How do you solve the equation -2 + tanθ = -3?

Back

θ = \frac{3\pi}{4}, \frac{7\pi}{4}

Tags

CCSS.HSF.TF.B.7

Front

What is the solution for the equation 3sinx + 5 = 5?

Back

x = 0

Tags

CCSS.HSF.TF.B.7

Front

What are the solutions for 4sin²x = 3 on the domain [0, 2π)?

Back

x = \frac{\pi}{3}, \frac{2\pi}{3}, \frac{4\pi}{3}, \frac{5\pi}{3}

Tags

CCSS.HSF.TF.B.7

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 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

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(θ) = cos(90° - θ) or sin(θ) = cos(\frac{\pi}{2} - θ) in radians.

Tags

CCSS.HSG.SRT.C.7