Solve Simple Trig Equations

Solve: 4sinθ + 1 = 3 State all solutions in the interval [0, 2π)

• π/ 6, 7π/6

• π/6, 5π/ 6

• 5π/6, 7π/6

• 7π/6, 11π/6

Find all the solutions [0, 2π) for this equation:

2sin x +√3 = 0

• π/3

• 2π/3

• 5π/6

• 4π/3

• 5π/3

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

• π / 3

• 2π / 3

• 5π / 3

• 7π / 3

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

Solve for ALL values of x (from least to greatest): x=​ ​ (a)   + 2πn &​ (b)   +2πn

• π/4

• 7π/4

• 3π/4

• 5π/4

• π/3

• 2π/3

• 4π/3

• 5π/3

• 0

• π

If sinΘ=1/2, what does theta equal? There are two answers, put the smaller answer first (a)   and ​ (b)  

• 30

• 150

• 45

• 60

• 90

• 120

• 135

• 180

• 210

• 225

Answer explanation

sine correlates with y and there are two points that have a y value of 1/2. 30 and 150 degrees.

Let's solve for all solutions from 0 to the end of one period of the function. That interval would be 0≤x<2π/3. We would get 3x=​ (a)   and 3x=​ (b)  

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

• π/2, 3π/2

• 3π/2

• none

Let's solve for all solutions from 0 to the end of one period of the function. That interval would be 0≤x<___

Mathematical Equivalence

ON