Trig Review 2020

Question 1

sin (3π / 4) =

Accepted Answer

√2 / 2

Question 2

Find ALL angles θ on [0, 2π) with sin(θ) = - √3 / 2.

Accepted Answer

4π / 3, 5π / 3

Question 3

The function graphed is ...

Accepted Answer

y = tan (x)

Question 4

The maximum and minimum values of this graph are ...

Accepted Answer

Min = -1, Max = 7

Question 5

On the Unit Circle, sin (θ) =

Accepted Answer

y / r, y

Question 6

The maximum and minimum on this graph are ...

Accepted Answer

Min = 1, Max = 5

Question 7

The midline and amplitude for this graph are therefore ...

Accepted Answer

Midline y = 1, Amplitude = 5, Midline y = 3, Amplitude 2

Question 8

If θ is a second-quadrant angle with sin(θ) = √2 / 2, then θ =

Accepted Answer

3π / 4

Question 9

The amplitude of this graph is

Accepted Answer

4

Question 10

Find ALL angles θ on [0, 2π) with tan(θ) = 1

Accepted Answer

5π / 4, π / 4

Question 11

An angle of (π / 4) radians is in

Accepted Answer

Quadrant 1

Question 12

An angle of 87° is in

Accepted Answer

Quadrant 1

Question 13

An angle of 487° is in

Accepted Answer

Quadrant 2

Question 14

The function graphed is ...

Accepted Answer

y = sin (x)

Question 15

cos (5π / 6) =

Accepted Answer

- √3 / 2

Question 16

If θ is a fourth-quadrant angle with cos(θ) = √3 / 2, then θ =

Accepted Answer

11 π / 6, - π / 6

Question 17

Put it all together to find the equation!

Accepted Answer

y = 2 cos ( x/2 ) + 3

Question 18

An angle of (- 2π / 3) radians is in

Accepted Answer

Quadrant 3

Question 19

The function graphed is ...

Accepted Answer

y = sec (x)

Question 20

The midline of this graph is

Accepted Answer

y = 3

Question 21

The period of this graph is ...

Accepted Answer

4π

Question 22

An equation for this graph is

Accepted Answer

y = 4 sin (x) + 3, y = 4 cos (x - π/2) + 3

Question 23

The function graphed is ...

Accepted Answer

y = cos (x)

Question 24

Find ALL angles θ on [0, 2π) with cos(θ) = - 1 / 2.

Accepted Answer

2π / 3, 4π / 3

Question 25

An angle of ( - π / 6) radians is in

Accepted Answer

Quadrant 4

Question 26

If θ is a first-quadrant angle with cos(θ) = √3 / 2, then θ =

Accepted Answer

π / 6

Question 27

Since the period of this graph is 4π, the horizontal dilation is ...

Accepted Answer

2

Question 28

tan (π / 3) =

Accepted Answer

√3

Trig Review 2020

Questions 28

Trig Review 2020

Questions 28