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.
That would be called the quotient.
3 is less than 5, so rounded to the nearest ten is 360.
6 is greater than 5, so rounded to the nearest hundred, our answer is 400.
What about if you use the distributive property? You could do 1(x+13) because the 1 would distribute to the x and the 13 making it x+13. Hope that is helpful.
There are 10,000 possible values the digits 0 and 9 can be arranged as a 4-digit number.
