Download Infinite Algebra 2 - Addition and Subtraction Formulas Notes

Pre-Calculus
Name___________________________________
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Addition and Subtraction Formulas Notes
Date________________ Period____
Use the angle sum identity to find the exact value of each.
1) sin 195°
2) cos 75°
Use the angle difference identity to find the exact value of each.
3) tan
17p
12
4) cos -
13p
12
Use an addition or subtraction formula to write the expression as a trigonometric function of one
number, and then find its exact value.
5) cos 10° cos 80° - sin 10° sin 80°
7) cos
19p
p
19p
p
cos + sin
sin
12
4
12
4
6) sin 23° cos 37° + sin 37° cos 23°
8) ( tan p + tan
p
p
) ÷ (1 - tan p tan )
6
6
Worksheet by Kuta Software LLC
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Prove the identity.
9) cos ( q -
p
) = sin q
2
10) sin (
p
-q ) = cos q
2
11) cot ( x + y ) = ( cot x cot y -1 ) ÷ ( cot x + cot y )
Assuming
sin x =
3
p
if
<x<p
5
2
and
cos y = -
5
3p
if p < y <
13
2
12) sin ( x + y )
13) cos ( x + y )
14) tan ( x - y )
15) sec ( x - y )
Worksheet by Kuta Software LLC
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Pre-Calculus
Name___________________________________
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Addition and Subtraction Formulas Notes
Date________________ Period____
Use the angle sum identity to find the exact value of each.
1) sin 195°
24
2) cos 75°
64
2
6
Use the angle difference identity to find the exact value of each.
3) tan
17p
12
2+
4) cos -
13p - 2 12
4
6
3
Use an addition or subtraction formula to write the expression as a trigonometric function of one
number, and then find its exact value.
3
5) cos 10° cos 80° - sin 10° sin 80°
6) sin 23° cos 37° + sin 37° cos 23°
2
0
7) cos
-
19p
p
19p
p
cos + sin
sin
12
4
12
4
8) ( tan p + tan
p
p
) ÷ (1 - tan p tan )
6
6
3
3
1
2
Worksheet by Kuta Software LLC
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Prove the identity.
9) cos ( q -
p
) = sin q
2
10) sin (
p
-q ) = cos q
2
11) cot ( x + y ) = ( cot x cot y -1 ) ÷ ( cot x + cot y )
Assuming
sin x =
12) sin ( x + y )
3
p
if
<x<p
5
2
and
5
3p
if p < y <
13
2
56
13) cos ( x + y )
65
cos y = -
33
65
14) tan ( x - y )
63
16
15) sec ( x - y ) -
65
16
Worksheet by Kuta Software LLC
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