Solving Trig equations #2

Front

What is the solution to the equation tan θ = 0?

Back

The solutions are θ = 0, θ = π, θ = 2π. The value θ = π/2 is NOT a solution.

Tags

CCSS.HSF.TF.B.7

Front

Where is the tangent function undefined?

Back

The tangent function is undefined at θ = π/2 and θ = 3π/2.

Tags

CCSS.HSF.TF.A.2

Front

Which of the following is NOT a solution to sin θ = √(3)/2? Options: π/3, 2π/3, 5π/3, 7π/3

Back

5π/3 is NOT a solution.

Tags

CCSS.HSF.TF.B.7

Front

Solve the equation cos²x + sinx + 1 = 0 on the domain [0, 2π).

Back

The solution is x = 3π/2.

Tags

CCSS.HSF.TF.B.7

Front

To solve the equation cos²x + sinx = 1, replace cos²x with: Options: 1/(sec²x), sin²x - 1, 1 - sin²x, 1 + tan²x

Back

Replace cos²x with 1 - sin²x.

Front

What is the period of the sine function?

Back

The period of the sine function is 2π.

Tags

CCSS.HSF.TF.A.4

Front

What is the range of the cosine function?

Back

The range of the cosine function is [-1, 1].

Tags

CCSS.HSF-IF.C.7E

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity is sin²x + cos²x = 1.

Tags

CCSS.HSF.TF.C.8

Front

What is the value of sin(π/2)?

Back

sin(π/2) = 1.

Tags

CCSS.HSF.TF.A.2

Front

What is the value of cos(0)?

Back

cos(0) = 1.

Tags

CCSS.HSF.TF.A.2