Evaluating Trigonometric Functions Sheet 1

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Evaluating Trigonometric Functions

Sheet 1

A) Evaluate each function at the speci ed value.

1)

(? ) = sin 2? ? 3cos ? ; ? =

2)

(? ) = cosec ? + tan 2? ; ? = 2

B) Evaluate each function.

1)

. (? ) = sec ?

cot ?

; nd

3 4

2)

tan ?

(? ) =

; nd

4sin ?

?

6

C) If ( ) = 4sin + 3sec ; nd the following.

1) (0) =

2)

?

2 3

=

3)

?

7 6

=

4)

4

=

D) If ( ) = tan . cot ; nd the following.

1)

2

2 ? 3

?

3

=

2)

5

5 4

?3

7 4

=

3)

4

+

6

=

6

5 6

4)

?

2 3

=

E)

What is the value of

?

7 4

,

if

(

) = 2sin

? tan

?

i) 2 + 1

ii) ? 2 ? 1

iii) 2 ? 1

iv) 2 + 3

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Answer key

Evaluating Trigonometric Functions

Sheet 1

A) Evaluate each function at the speci ed value.

1)

(? ) = sin 2? ? 3cos ? ; ? =

2)

(? ) = cosec ? + tan 2? ; ? = 2

3

B) Evaluate each function.

1)

. (? ) = sec ?

cot ?

; nd

3 4

1

2)

tan ?

(? ) =

; nd

4sin ?

?

6

3

2

18

C) If ( ) = 4sin + 3sec ; nd the following.

1) (0) =

3

2)

?

2 3

=

?2(3 + 3)

3)

?

7 6

=

2(1 ? 3 )

4)

4

=

52

D) If ( ) = tan . cot ; nd the following.

1)

2

2 ? 3

?

3

=

2 3

2)

5

5 4

?3

7 4

=

8

3)

4

+

6

=

1 + 3

6

5 6

4)

?

2 3

=

?18

E)

What is the value of

?

7 4

,

if

(

) = 2sin

? tan

?

i) 2 + 1

ii) ? 2 ? 1

iii) 2 ? 1

iv) 2 + 3

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