Use the addition and subtraction theorem:
sin (A + B) = sin A + cos B
sin (A - B) = sin A - cos B
From there it's just a matter of simplification.
sin A cos B = 1/2 [ sin (A + B) + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin A cos B - cos A sin B ]
sin A cos B = 1/2 [ 2 sin A cos B ]
sin A cos B = sin A cos B
Answer:
There is no solution because the graphs do not intersect
Step-by-step explanation:
Both of theses equations do intersect with one another when graphed. In conclusion, there is no solution.
4. -5
5. 3
6. Charlie won
7. Round 2
8. Round 4
The least amount an artist could show is 2 (since they have to show more than 1)
30 / 2 = 15
15 artists could be featured
The answer is A since: 3^2+4^2=5^2
25=25