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
In parallelogram EFGH, the measure of angle G is (4x + 16)° and the measure of angle H is (2x − 16)°. What is the measure of ang
asambeis [7]

Answer:

m∠H = 44°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary.  So,

∠H and ∠G are supplementary

4x + 16 + 2x - 16 = 180

6x = 180

x = 30

m∠H = 2x - 16 = 2(30) - 16 = 60 - 16 = 44°

4 0
2 years ago
Use the coordinate plane to plot the points (6, 0) and (0, 5). Which statement is true? (0, 5) is located on the x-axis. (0, 5)
m_a_m_a [10]

Answer:

(6, 0) is located on the x-axis

Explanation:

For a point to be on the x-axis, its y-value must equal 0. (6, 0) has an x-value of 6 and a y-value of 0.

"(0, 5) is located at the origin" is not true because the origin is at (0, 0).

"(0, 5) is located on the x-axis" is not true because its y-value is 5, not 0.

"(6, 0) is located at the origin" is not true because the origin is at (0, 0).

6 0
3 years ago
Y
Nadusha1986 [10]

Answer:

1

Step-by-step explanation:

(1,1) to (2,2) and (2,2) to (3,3) and so on is (1,1)

6 0
2 years ago
you eat 3/10 of a coconut your friend eats 1/5 of the coconut what fraction of the coconut do you have and your friend eat write
Bas_tet [7]

Answer:

I eat 3/10 of the coconut and my friend eats 1/5 which is 2/10.

We both eat 3/10 + 2/10 which is 1/2 of the coconut.

7 0
3 years ago
Solve the equation for x.<br> -=7<br> Answer here
Leviafan [203]

Complete Question:

Solve the equation for x

x-7=7

Answer:

x = 14

Step-by-step explanation:

Given

x-7=7

Required

Solve for x

x-7=7

Add 7 to both sides

x-7+7=7+7

x=7+7

x = 14

Hence:

For x-7=7, x = 14

5 0
3 years ago
Other questions:
  • PLS HELP! Tanisha is planning a party. She will serve hamburgers, potato salad, strawberry shortcake, and lemonade. Including Ta
    14·1 answer
  • A rectangular prism has volume 12x3 − 11x2 − 5x. Which expressions can represent the dimensions of the prism?
    7·1 answer
  • 09-7.5<br> Help with math
    8·1 answer
  • Do you convert 100 inches per minute to feet per minute
    10·2 answers
  • An amusement park charges a $20 admission fee and $3 for each ride. Which equation can be used to determine c, the total cost of
    13·1 answer
  • What is the volume of a cylinder with a radius of 7.5 cm and a height of 20 cm
    5·1 answer
  • Betty bought a gift a friend. She in a box with the length of 9 inches, width of 13 inches, and the height of 8 inches. What is
    11·1 answer
  • You buy a house for $230,000. It depreciates 3% per year. How much is it worth in 5 years?
    10·1 answer
  • L
    6·2 answers
  • Please help this question​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!