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
fiasKO [112]
2 years ago
7

If 41 sin A = 40, find the value of cos A and tan A.​

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
5 0

Answer:

cos A= 9/41 and tan A is 40/9

Step-by-step explanation:

SOHCAHTOA.

Sine = opposite/hypotenuse

Cosine=adjacent/hypotenuse

Tangent=opposite/adjacent

Let's go back to your problem

41 sin A = 40

To get sin A by itself, divide both sides of the equation by 41. You get sin A = 40/41. As sine = opposite/hypotenuse, 40 will be the leg and 41 will be the hypotenuse. What is the value of the other leg?

Use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 40^2 = 41^2

a^2 + 1600 = 1681

a^2 = 81

a=9

This is a 9-40-41 right triangle

Now, solve cos A

cos=adjacent/hypotenuse

cos=9/41

Finally, solve for tan A

tan=opposite/adjacent

tan=40/9

Hope this helps :)

You might be interested in
A man sold a fan for Rs. 400. Find the cost price if he incurred a loss of 15%.
statuscvo [17]

Answer:

Cost price of the fan is \text {Rs. 470.59}.

Step-by-step explanation:

Given: A man sold a fan for  \text{Rs.}\:400. He incurred a loss of 15\%.

To find: The cost price of the fan

Solution:

We have,

Selling price, S.P.,  of the fan = \text{Rs.} 400

Loss =15\%

We know that \text {Loss\%}=\frac{\text{C.P.-S.P.}}{\text{C.P.}}\times100\%

Now let the C.P. of the fan be \text{Rs.} \:x

So, 15=(\frac{x-400}{x})\times 100

\implies 15x=100x-40000

\implies 100x-15x=40000

\implies 85x=40000

\implies x=\frac{40000}{85}

\implies x= 470.59

Hence, the cost price of the fan is \text {Rs. 470.59}.

7 0
3 years ago
Jody is feeding her dog from a 10-pound bag. The dog does through 1 1/4 pounds of food each week. Enter , in decimal form, how m
Evgesh-ka [11]

Answer:

are this form 1 question???

3 0
2 years ago
Read 2 more answers
Which graph represents the function f (x) = StartFraction 2 x minus 1 Over x minus 1 EndFraction?
Lubov Fominskaja [6]

The correct description of the graph:

<em>"One curve opens up and to the right in quadrant 1, and the other curve down and to the left in </em><em>quadrants </em><em>2, 1, and 4."</em>

<h3>Which graph is the graph of the given functions?</h3>

Here we have the function:

f(x) = \frac{2x - 1}{x - 1}

The graph of this function can be seen below:

Then we can see that a curve opens up on quadrant 1, and down on quadrants 2 and 3 (it pass throw quadrant 1 for a little bit).

Then the correct option is:

<em>"One curve opens up and to the right in </em><em>quadrant </em><em>1, and the other curve down and to the left in </em><em>quadrants </em><em>2, 1, and 4."</em>

<em />

If you want to learn more about rational functions:

brainly.com/question/1851758

#SPJ1

6 0
2 years ago
Read 2 more answers
Ava wants to practice ball for 2 1/2 hours each week on Monday she practices for one hour Tuesday 1/4 of an hour and Thursday 1/
Bogdan [553]

Answer: She would have to practice for 3/4 of an hour left to reach her goal

3 0
2 years ago
Christine worked from 8:15 AM to 11:50 AM, went to lunch, then worked from 12:45 PM to 5:15 PM on Monday through Friday of this
velikii [3]

The equation illustrated shows that the gross pay will be $97.

<h3>How to compute the value?</h3>

It should be noted that she earns an hourly rate of $17.15 and receives time and a half for overtime. The number of hours will be 3 hours 35 minutes at first. This will be:

= (17.15 × 3.58)

= 61.5

The amount for overtime will be:

= (1/2 × 17.15) × 4.5

= 35.59

The Total amount will be:

= 61.5 + 35.59

= $97

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Other questions:
  • The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles
    11·1 answer
  • School X and School Y play each other in a competition. School X has eight more points than School Y. School X has three times a
    11·2 answers
  • Which of the following is NOT a property of the sampling distribution of the sample​ mean?
    9·1 answer
  • Solve this system of equations by using substitution<br><br> 3x + 5y = 23<br> y= x + 3
    9·1 answer
  • The prime factorization of a number is 23 times 32 times 5. Which is a new statement about the factors of the number?
    15·1 answer
  • ava took out a 30 year loan for 310000 at 2.3% interest compounded monthly if her monthly payment on the loan will remain 1192.8
    15·1 answer
  • How do I simplify (Y^7)^3?
    13·2 answers
  • I need help with all of them
    6·1 answer
  • PLZZ HELP!!!
    11·1 answer
  • Bob makes 4% commission on his sales as a real estate agent. If Bob sells a house for $249,000, how much money does he make on t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!