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:
24 students.
Step-by-step explanation:
25% is 1/4 of 100.
6*4= The number of students.
Answer:
The length of the model is 21 inches
Step-by-step explanation:
we have
The scale factor

That means
1 unit in the model represent 12 units in the actual
1 inch in the model represent 12 inches in the actual
Remember that

so
1 inch in the model represent 1 ft in the actual
The scale factor is

therefore
21 ft in the actual represent 21 inches in the model
Answer:
In a triangle, sides opposite of congruent angles are congruent.
Answer:
I used the calculator, so the answer may or,may not be, 125126.4