SOLUTION: Find the exact value. (Hint: 75� = 45� + 30� ) (answer has to be in radical form) sin(75^degrees)

Question 595444: Find the exact value. (Hint: 75� = 45� + 30� ) (answer has to be in radical form)

sin(75^degrees)

=_________________
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
sin(75)

sin(45 + 30)

sin(45)cos(30) + cos(45)sin(30)

(sqrt(2)/2)(sqrt(3)/2) + (sqrt(2)/2)(1/2)

sqrt(6)/4 + sqrt(2)/4

(sqrt(6) + sqrt(2))/4

So $\sin(75^{\circ}) = \frac{\sqrt{6} + \sqrt{2}}{4}$

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