Algebra II
posted by Lucy on .
1)Find the exact value of sin 165 degrees.
Answer: (sqrt6 + sqrt2)/4
2) Simplify: (4m/5n^2) (n/2m)
Answer: (8m^25n^3)/10n^2m
Thanks

The answer they gave you for the first one is not correct.
Here is the right way:
sin 165
= sin(120+45)
= sin120cos45 + cos120sin45
= sin60sin45 + (cos60sin45)
= (√3/2)(√2/2)  (1/2)(√2/2)
= (√6  √2)/4
(my answer checked with calculator)