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
mestny [16]
3 years ago
10

What are the values of cos α and tan α, if: sinα= 40/41

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0

Answer:

The answer to your question is:

cos α = 9/ 41

tan α = 40/9

Step-by-step explanation:

Data

cos α = ?

tan α = ?

sin α = 40/41

Process

sin Ф  = opposite side / hypotenuse

then, if sin α = 40/41,

opposite side = 40

hypotenuse = 41

Pythagorean theorem

                                       c² = a² + b²

                                      41² = 40² + b²

                                      b² = 41² - 40²

                                      b² = 1681 - 1600

                                      b² = 81

                                      b = 9

adjacent side = 9

Now,

cosine Ф = adjacent side / hypotenuse

cos α = 9/ 41

tangent Ф = opposite side / adjacent side

tan α = 40/9

You might be interested in
7. Susan spent 30% of the money she earned mowing lawns last summer. If Susan spent $51, what was the total
KatRina [158]

Answer:

$170

Step-by-step explanation:

30% of the money was equal to 51

so:

\frac{30}{100}  =  \frac{51}{x}  \\  \\ x =  \frac{5100}{30}  =  \frac{510}{3}  = 170

7 0
2 years ago
Find the Volume.<br><br> A.4620<br> B.5390<br> C.539<br> D.735
MrMuchimi

Answer:

B

Step-by-step explanation:

22x21x35 = 16 170

16 170 / 3 = <u>5390</u>

3 0
3 years ago
Read 2 more answers
A right triangle has one leg with length 7 and
Angelina_Jolie [31]
C because of the length of the number
3 0
3 years ago
Read 2 more answers
Whats the variable for 4/2 = 3/x
Doss [256]

Answer: 3/2

Step-by-step explanation:

We can cross multiply.

4x = 6.

Divide both sides by 4.

x = 6/4 which simplifies to 3/2

5 0
2 years ago
Write the following numbers in decimal form. (Note: Some of these numbers have been rounded.)
harkovskaia [24]

Answer:

1354000000

Step-by-step explanation

given number is 1.354 × 10^9

= (1.354) × 1000000000

=  1.354 × 1000000000

= ( 1354 × 1000000000 ) ÷ 1000

=  1354000000

4 0
3 years ago
Other questions:
  • The average polar bear weighs 1,200 pounds. The average grizzly bear weighs 800 pounds. The average black bear weighs 400 pounds
    12·1 answer
  • An igloo is a shelter constructed from blocks of ice in the shape of a hemisphere. This igloo has an entrance below ground level
    9·1 answer
  • best answer will be awarded the brainliest and 5 stars write the solution to this problem in standard form so a cubic meter of w
    5·1 answer
  • mr.wilson saved 2,500 to buy airlines tickets he bought airline tickets for $372 each how much savings does mr.wilson after he b
    6·2 answers
  • A universal set contains only sets A and B. If A∩B = Ø and A and B are not the empty set, then all of the following are true exc
    13·2 answers
  • Hilida spent 47$ and know has no money left she had blink before her purchase​
    14·1 answer
  • What is the best way to display data if there is a wide range and we want to see individual data?
    7·2 answers
  • The numbers in this chart represent the total number of points scored by five members of the high school basketball team during
    6·1 answer
  • If answer is correct I will mark as brainliest.
    15·2 answers
  • Create an expression equivalent to 4 (2x-3) -3x
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!