Use Identities to find the exact value.
24) cos(-75°)
1 answer:
Answer:
(
-
)
Step-by-step explanation:
Using the addition formula for cosine
cos(x - y) = cosxcosy + sinxsiny
and the exact values
sin45° = cos45° = 
cos60° =
, sin60° = 
Note that
cos(- 75)° = cos(45 - 120)°, thus
cos(45 - 120)°
= cos45° cos120° + sin45° sin120°
= cos45° ( - cos60°) + sin45° sin60°
=
× -
+
× 
= -
+ 
=
× 
= 
=
(
)
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