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:
$42.12
Step-by-step explanation:
35% off means she has to pay:
100 - 35 = 65% of the marked price.
65/100 × 60 = 39
Tax: 8%
8/100 × 39 = 3.12
To pay:
39 + 3.12 = 42.12
Answer:
a
Step-by-step explanation:
Answer:
I am pretty sure its y={5}/{4}x-5
Step-by-step explanation:
Answer:
The coordinate of point M = (-6,7)
Explanation:
The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.
Given: 
has vertices T(3,6) , R(-3,10) and E(-9,4).
Here, line TM is a median of triangle TRE where M is the midpoint of RE.
The midpoint of M of the line segment from R(-3,10) to E(-9,4) is;
M = 
Therefore, the coordinate of point M is, (-6,7).
