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
natka813 [3]
3 years ago
12

Which expression is equivalent to cos(40°)cos(10") + sin(40°)sin(10º)?

Mathematics
1 answer:
BARSIC [14]3 years ago
3 0

Answer:

The equivalent expression is cos(40° – 10º) ⇒ D

Step-by-step explanation:

The rule of cosine the compound angles is

cos (A + B) = cos A cos B - sin A sin B

cos (A - B) = cos A cos B + sin A sin B

Let us use these rules to solve the question

∵ cos(40°)cos(10°) + sin(40°)sin(10º)

∵ The middle sign is plus

∴ We will use the 2nd rule above

→ Compare the rule by the given expression to find the value of A and B

∵ A = 40° and B = 10°

∴ cos (A - B) = cos (40° - 10°)

∴ cos (40° - 10°) = cos(40°)cos(10°) + sin(40°)sin(10º)

∴ The equivalent expression is cos(40° – 10º)

You might be interested in
Find the following quotients and show your work:<br><br> a.6/4 divided 3/4
IRISSAK [1]
The answer to the question is 2

4 0
3 years ago
Blank percent of 50 shirts
Dmitrij [34]
The answer is 10 because 5 10 15 20 25 30 35 40 45 50
8 0
3 years ago
Question help on this problem! Please
Ostrovityanka [42]

Answer:

Step-by-step explanation:

hi: the second, the third and the last one are true

5 0
2 years ago
Read 2 more answers
Two runners in a 400 meter race cross the finish line in a photo finish. From the photo, officials find that the second runner w
vodomira [7]
The second place runner had already completed 320 meters when the winner crossed the finish line

8 0
3 years ago
In the diagram, line p is parallel to line q. <br> What is the value of x and y?<br> (NEED HELP)
hichkok12 [17]

Y is 42°

The x is not the picture

4 0
2 years ago
Other questions:
  • Solve the equation 24 - 1/8p = 3/8p
    14·1 answer
  • I don't know how to do this can some one give me step by step instructions (geometry) we have to find the value of x .tell which
    11·1 answer
  • If there were a total of 195 campers, how many boy campers were there?
    12·1 answer
  • Nadia bought a new camera, lens and case. She round rounded the cost of the camera to $800, the cost of the lens to $500 and the
    9·2 answers
  • PLEASE HELP WHOEVER ANSWERS FIRST GETS BRAINLIEST
    12·2 answers
  • On a coordinate plane, a line goes through points (negative 3, negative 3) and (0, 3). What is the slope of the line on the grap
    14·2 answers
  • Simplify.<br> 3+ (-2) • 6
    9·1 answer
  • What is the following product? root(3, 4) * sqrt(3)
    8·1 answer
  • What part of 72 is 2?
    15·2 answers
  • Help me Instead of typing random answers
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!