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
pochemuha
2 years ago
8

3sina-4sin4a/sin5a if a=-45 degree

Mathematics
1 answer:
Ierofanga [76]2 years ago
8 0

Given:

The given expression is:

\dfrac{3\sin a-4\sin 4a}{\sin 5a}

To find:

The value of the given expression at a=-45.

Solution:

We have,

\dfrac{3\sin a-4\sin 4a}{\sin 5a}

Substituting a=-45, we get

\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}

=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (225)}

=\dfrac{-3\sin (45)+4\sin (180)}{-\sin (180+45)}

=\dfrac{-3\sin (45)+4\sin (180)}{\sin (45)}

On substituting \sin (180), we get,

=\dfrac{-3\sin (45)+4(0)}{\sin (45)}

=\dfrac{-3\sin (45)+0}{\sin (45)}

=\dfrac{-3\sin (45)}{\sin (45)}

=-3

Therefore, the value of the given expression at  a=-45 is -3.

You might be interested in
Solve 4x + 15x +9==0 by factoring
Artist 52 [7]

Answer:

(4x+3)(x+3)

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find the value of x.
vredina [299]

Answer:

50

Step-by-step explanation:

8 0
3 years ago
A principal of $3500 is invested at 3.75% interest, compounded annually. How much will the investment be worth after 12 years? R
Thepotemich [5.8K]
Use the compound amount formula:

A = P*(1+r/n)^(nt)

Here,

A = $3500*(1+0.0375/12)^(12*12) =  $5485.24
4 0
3 years ago
List the elements of the set given below.
svetoff [14.1K]

Answer:

The set = {1, 2, 3, 4, 5}

Step-by-step explanation:

Let us explain how to solve this question

∵ The set = {x : x is a digit in the number 241,532)

→ That means the elements of the set are the digits of the given number

∴ The elements in this set are the digits of the number 241,532

∵ The digits of the number 241,532 are 2, 4, 1, 5, 3, 2

→ In any set of numbers,

  • Do not repeat any number
  • Arrange the numbers

∴ The elements of the set are 1, 2, 3, 4, 5

∴ The set = {1, 2, 3, 4, 5}

8 0
3 years ago
A couple wants to install a square mirror that has an area 500 in.². To the nearest 10th of an inch what length of wood trim is
Alenkinab [10]
S·S=500. S²=500. S=√500. S=22.36. 22.4 inches for 1 side, 22.4(4)=89.6, 89.6 for all 4 :)
7 0
3 years ago
Other questions:
  • Choose all the doubles facts that can help you solve 8+7
    15·2 answers
  • Help help. I’m confused
    12·1 answer
  • The values given in the table below are the coordinates of points on a line.
    12·1 answer
  • Can someone help pleassssssseeeeee!!!!!!!!!????????? ILL MARK BRAINLIEST!!!!
    12·1 answer
  • Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17%
    7·2 answers
  • Translate the sentence into an equation.<br> The sum of 5<br> times a number and 9<br> is 6<br> .
    15·1 answer
  • Plz help me! I don't understand how to do this.​
    10·2 answers
  • A guy wire (a tensioned cable designed to add stability to a free-standing structure) is attached to a telephone pole whose heig
    7·1 answer
  • 28÷(15-11)³+3² explain
    14·1 answer
  • (a) 35.8 + 10 need answer<br>​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!