Answer:
sin 5x cos x - cos 5x sin x = sin(4x)
Step-by-step explanation:
Given that the trigonometric expression,
sin 5x cos x - cos 5x sin x
Here we use the "sum and difference formulas"
Sum and Difference Formulas
sin(A+B)=sin A cos B + cos A sin B
sin(A-B)=sin A cos B - cos A sin B
cos(A+B)=cos A cos B - sin A sin B
cos(A-B)=cos A cos B + sin A sin B
So,
sin 5x cos x - cos 5x sin x = sin (5x - x)
sin 5x cos x - cos 5x sin x = sin(4x)
That's the final answer.
B
3x6=18
4x6=24
16x6=96
The second picture is 6 times bigger than the first so it's 1 to 6
Answer: B. one-third
Step-by-step explanation:
Probability of picking a red marble, P(R) = 1/6
Probability of picking a yellow marble, P(Y) = 1/2
Therefore, the probability of picking a blue marble will be:
= 1 - (P(R) + P(Y))
= 1 - (1/6 + 1/2)
= 1 - (4/6).
= 1 - 2/3
= 1/3
The probability of picking a blue marble will be one third
