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.
Answer:
Step-by-step explanation:
m = -6
Equation: y = mx + b
y = -6x +b
(-4 , 1)
Plugin x = -4 and y = 1 in the above equation
1 = -6*(-4) + b
1 = 24 + b
1- 24 = b
b = -23
Equation: y = -6x - 23
Answer:
12075
Step-by-step explanation:
35 x 345 = 12075
Answer:
y = 4x + 5
Step-by-step explanation:
First let's find its slope.
(5-9)/(0-1) = 4.
So far, in the equation we have y=4x+b.
As for the y-intercept, the coordinate (0,5) is the y-intercept.
Therefore, the equation in slope intercept form would be y=4x+5.
Answer:
x = 2
Step-by-step explanation:
distribute:
8(4) - 8(x) = 7x + 2
32 - 8x = 7x + 2
add 8x to each side to get:
32 = 15x + 2
subtract 2 from each side to get:
30 = 15x
x = 30/15 or 2
