Center A: Evaluating Trigonometric Expressions

Center A: Evaluating Trigonometric Expressions Find the exact values of the following trigonometric expressions.

a) sin(- 225o)

b) cos(600o)

c)

tan(-

6

)

d)

sin(

7 3

)

e)

cos(

3 2

)

Answers to Center G Check your answers on Desmos :)

Center B: Solving Trigonometric Equations

Solve for x, given the interval 0 x < 2

a) cos + 1 = 0 b) 2sin + 3 = 0 c) 2cos - 3 = 0

a)

2 2

b)

-

1 2

Answers to Center A

c)

-

3 3

d)

3 2

e) 0

Center C: Using Right Triangles to Evaluate Trigonometric Expressions

Evaluate the trigonometric function given the information below.

a)

If sin

=

5 13

and

<

<

2

,

find cos .

b)

If tan =

-

4 3

and

3 2

< < 2 ,

find

sin.

c)

If tan

=

12 5

and

<

<

3 2

,

find cos .

a) =

Answers to Center B

b)

=

4 3

,

5 3

c)

6

,

11 6

Center D: Using the Sum and Difference Formulas

Use the sum or difference formulas to simplify the following expressions.

a) sin(x + ) b) cos(x - 2) c) tan(x - )

a)

-

12 13

b)

-

4 5

Answers to Center C

c)

-

5 13

Center E: Graphing Sine and Cosine

Graph at least one full period of the following functions.

a) f (x) = 2sin(2x) + 4

b) f (x)

=

1 2

cos(x

- )

- 1

c) f (x) = - sin(x + 1) + 2

d) f (x) =

-

2cos(

1 2

x)

+

3

a) - sinx b) cosx

Answers to Center D c) tanx

Center F: Graphing Tangent and Cotangent

Graph at least one full period of the following functions.

a) f (x) = 2tan(2x)

b) f (x)

=

cot(

1 2

x)

c) f (x) =

-

3tan(

1 4

x)

d) f (x) =

-

1 2

cot(4x)

Answers to Center E Check your answer on Desmos :)

Center G: Graphing Secant and Cosecant

Graph at least one full period of the following functions.

a) f (x) = 2csc(2x)

b) f (x)

=

1 2

sec(

1 2

x)

c) f (x) = - 3csc(x)

d) f (x) =

-

sec(

1 4

x)

Answers to Center F Check your graphs on Desmos :)

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