Precalculus Trigonometric Equations

Simplify.

• sin x

• cos x

• tan x

• 1

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6

• θ = π / 6,  5π / 6

• θ = 5π / 6,  7π / 6

• θ = 7π / 6,  11π / 6

Solve
cos²θ = ½ 
on θ∈[0, 2π)

• θ = π /4, 7π /4

• θ = π /4, 3π /4

• θ = 3π /4, 5π /4

• θ = π /4, 3π /4, 5π /4, 7π /4

Solve
cosθ = - √(3)/2  
on θ∈[0, 2π)

• θ = π /3, 2π /3

• θ = 2π /3, 4π /3

• θ = π /6, 5π /6

• θ = 5π /6, 7π /6

y=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 midline (vertical shift) For y=7sin(6(x-8))+9,

• 9

• A, amplitude

• 6

• C, phase shift

• 7

• B, helps calculate period

• 8

• D, midline

For y=7sin(6(x-8))+9, What is the value of A, B , C, and D?

• 9

• C, phase shift

• 8

• A, amplitude

• 6

• B, helps calculate period

• 7

• D, midline

Sin is related to ​ (a)   , cos is related to ​ (b)   , and tangent is related to ​ (c)  

• Csc

• sec

• cotangent

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

• π / 3

• 2π / 3

• 5π / 3

• 7π / 3

TRUE or FALSE:
There is NO SOLUTION to sinθ = -1.

• TRUE

• FALSE

Solve sinθ = -1 on θ∈[0, 2π)

• θ = π /2, 3π /2 

• θ = π /2

• θ = 3π /2

• θ = π