Equations of Trigonometric Functions

Write the equation of the function graphed:

• y = 2 sinx

• y = 2 cosx

• y = sinx + 2

• y = cosx + 2

Write the equation of the function graphed:

• y = 2 sinx

• y = sinx + 2

• y = sin2x

• y = sin(1/2x)

Write the equation of the function graphed:

• y = sin2x

• y = sin4x

• y = sin(1/2x)

• y = sin(1/4x)

Write the equation of the function graphed:

• y = 2 cosx

• y = 2 cosx + 2

• y = 2 cos(2x)

• y = 2 cos(1/2x)

For what numbers x, 0 e x e2 \pi, does sin x =1

• π/2, 3π/2

• π/2

• 0, 2

• none

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0

• θ = π /2

• θ = π

• θ = 2π

F(x) = Asin[B(x-C)] + D is the standard form. A is the Amplitude B helps you find the period, B=2pi/period C is the phase shift D is the vertical shift Then f(x) = 2Sin(3x + 1) + 4

• 2

• C, phase shift

• 4

• D, vertical shift

• 3

• A, amplitude

• 1

• B, helps calculate period

Solve on the Interval [0,2π)
tan(x)+1=2

• 0 and π  

• 3π/4 and 7π/4

• π/4 and 5π/4

• 3π/4 and 5π/4

For what numbers x, 0≤x≤2π, does sin x =1

• π/2, 3π/2

• π/2

• 0, 2

• none

For what numbers x, 0 e x e2 ext{π} , does sin x= -1

• π/2, 3π/2

• 3π/2

• none