Question
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( )
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) =
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