1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dexar [7]
3 years ago
15

Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

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.

You might be interested in
The radius of a car wheel is 12 inches. How far will the car travel and 15 revolutions of the wheel?
viktelen [127]
R = 12 inches, the radius of the wheel.

The circumference of the wheel is
2πr = 2π(12) = 24π inches.

WHen the wheel makes 15 revolutions, the car will travel 15 times the circumference, which is
15*(24π) = 360π inches = 1131 inches.

Answer: 1131 inches
7 0
3 years ago
Determine if the lines that pass through the given points are parallel, perpendicular or neither. Line A: (-3, 5) and (0, 7) Lin
Oliga [24]
It is parallel due to the fact that it is the exact same number with one being positive and one being negative.
5 0
3 years ago
Read 2 more answers
What is the value of the 5 in the number 975,178
maxonik [38]
It’s in the thousands place
3 0
4 years ago
Read 2 more answers
What’s the preimeter to this?
kobusy [5.1K]

decimal form

119.571428571

fraction form

119571428571/1000000000

Have a nice day

hope this attachment relates to you

6 0
2 years ago
You go into a cafe and you see on the menu that coffee costs R20.50, a muffin costs R10.29 and a sweet costs 59 cents. You order
Viktor [21]

Answer:

R 42.26

Step-by-step explanation:

To calculate the bill correctly we must add the orders separately and in the sweet cost when adding, we should write it as 0.59 not 59.

my order            my friend's order

 20.50                   10.29

+ 10.29                +   0.59

<u>                 </u>                  0.59

R 30.79                <u>              </u>

                             R  11.47

<em>R 30.79 + R 11.47 = </em><em>R 42.26</em>

4 0
3 years ago
Other questions:
  • I dont know how to do this will you please help me 118=6x+4
    13·2 answers
  • A mermaid is swimming at sea level when a human comes by. She dives underwater at a rate of 8 meters per second. She continues t
    6·1 answer
  • During a recent beetle infestation, two-thirds of the ash trees in the area were destroyed. If 130 trees were destroyed, how man
    12·2 answers
  • If the length of a rectangle is 3 meters less than twice its width, what is an equation to find the length of the rectangle?
    13·1 answer
  • Write an equation in point-slope form of the line that passes through the two given points. Use the first point to write the equ
    13·1 answer
  • Oday, everything at a store is on sale. The store offers a 20% discount.
    9·1 answer
  • 6 + (8 x 3) - 9 Enter the value
    10·1 answer
  • A pediatrician records the age (in months) and the height (in inches) of a baby over time and creates a scatter plot. Using the
    6·1 answer
  • (-9z + 8) + (-3z - 6)
    15·2 answers
  • Jenny knit a total of 12 centimeters of scarf over 2 nights. How many nights will Jenny have
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!