PLEASE HELP ME!!! I don’t understand
2 answers:
Answer:
see explanation
Step-by-step explanation:
Using the addition formula for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
and exact values
sin45° = cos45° = 
c0s30° =
, sin30° = 
Express cos15° = cos(45 - 30 )°, then
cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
=
×
+ (
×
)
=
+ 
=
← exact value
Answer:
√6 + √2
= --------------
4
Step-by-step explanation:
15° = 45° - 30°
So
cos(15) = cos(45 - 30)
=cos(45) × cos(30) + sin(45) × sin(30)
= 1/√2 × (√3)/2 + 1/√2 × 1/2
(√3) + 1
= --------------
2√2
(√3) + 1 √2
= -------------- x ---------
2√2 √2
√6 + √2
= --------------
4
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