2)

For each of the following, rewrite the expression as a trigonometric function of one angle.

(a) cos(46) cos(24) + sin(46) sin(24) = cos( )

(b) cos(23) sin(4) - sin(23) cos(4) = sin( )

(c) cos(7) sin(-6) - cos(6) sin(7) = sin(

3)

You are given the following information.

and are acute angles

cos = 5/6

tan = 10/18

Find the following values. Give your answers correct to 2 decimal places.

(a) sin( + ) =

(b) cos( + ) =

Which quadrant contains + ?

Quadrant

4)

Find the exact value of each of the following under the given conditions.

(a) sin( + )

Give your answer using the form .

A =

B =

(b) cos( + )

Give your answer using the form .

A =

B =

(c) sin( - )

Give your answer using the form .

A =

B =

(d) tan( - )

5)

You are given the following information.

sin = -4/5

sec = 5/3

is a third quadrant angle

is a first quadrant angle

Find the following values. Give your answers correct to 2 decimal places.

(a) sin( + ) =

(b) tan( + ) =

Which quadrant contains + ?

Quadrant

6)

You are given the following information.

cos = 3/5 where 0 < < 90

Find each of the following values. Give your answers correct to 2 decimal places.

(a) sin(2) =

(b) cos(2) =

(c) tan(2) =

7)

You are given the following information.

sec = -2 where 90 < < 180

Find each of the following values. Give your answers correct to 2 decimal places.

(a) sin(2) =

b) cos(2) =

(c) tan(2) =