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:
x = 6
Step-by-step explanation:
2x + 5 = 8x - 13 place like terms in the same side of the equation
5 + 13 = 8x - 2x add like terms
18 = 6x
6 = x
Points of intersection are (0,0),(0,8),(10,0),(4,6) plugging them into the equation you get 0,24,10,22. I don't know if you're looking for max value or min value.
Answer:
d. A hypothesis is derived from the evidence at hand; the evidence produces the hypothesis.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The evidence suggests that a certain hypothesis is tested for its reliability. The hypothesis is accepted or rejected on the basis of its underlying evidences.
The answer is 3:15, Hope this helped!