5.4 sum and difference formulas in this section students will use sum and difference formulas to...
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5.4 Sum and Difference Formulas
In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and solve trigonometric equations.
Section 5.4, Sum and Difference Formulas, pg. 368
Example 1
Find the exact value of cos75
Section 5.4, Sum and Difference Formulas, pg. 368
Example 2
Find the exact value of sin12
Section 5.4, Sum and Difference Formulas, pg. 368
Example 3
Find the exact value of sin(u+v) given
, where and
where
sinu 4
50
2 u
cosv
12
13 2
v
Section 5.4, Sum and Difference Formulas, pg. 368
Example 5
Prove the cofunction identity cos( ) sin2
x x
Section 5.4, Sum and Difference Formulas, pg. 368
Example 6
Simplify the expression.
a. b.cos( )
3
2tan( ) 3
Section 5.4, Sum and Difference Formulas, pg. 368
Example 7
Find all solutions of in the interval
sin( ) sin( )x x 4 4
1
[ , )0 2
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