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
barxatty [35]
2 years ago
15

Simplify x = cos[2 arcsin(3/5)]. -7/25 7/25 4/5

Mathematics
1 answer:
Marina CMI [18]2 years ago
5 0

Answer:

7/25

Step-by-step explanation:

Let \theta= \arcsin(\frac{3}{5}) so we have x=\cos(2\theta)

As \cos(2\theta)=\cos^2\theta-\sin^2\theta, we'll have \cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2

To determine \cos(\arcsin(\frac{3}{5})), construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since \theta=\arcsin(\frac{3}{5}), then \sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, \cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}. This means that \cos(\arcsin(\frac{3}{5}))=\frac{4}{5}.

Hence, \cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}

You might be interested in
Please helpppppppppppppp
Marina CMI [18]

Answer=A

Area=Length ×Breath

Length=2cm

Breath=5cm +4cm=9cm

area = 2cm ×9cm=18cm square

6 0
3 years ago
Which logical form represents this statement?
Whitepunk [10]
C........................................................
4 0
3 years ago
Dylan is evaluating the expression 13+19+7+10. At one step in his work, Dylan rewrites the equation as 13+7+19+10. Which propert
SOVA2 [1]
He used the commutative property of addition.<span />
4 0
3 years ago
Read 2 more answers
3(4x-10)=2(3x-30) i need help again i have to turn in all of my school work tomorrow so i don't fail the 8th grade
gayaneshka [121]

Answer:

The result for this equation is x = -5 .

Step-by-step explanation:

-Solve the equation:

3(4x-10)=2(3x-30)

-Use Distributive Property:

3(4x-10)=2(3x-30)

12x - 30=6x - 60

-Subtract 6x and from 12x :

12x - 30 -6x=6x -6x - 60

6x - 30=-60

-Add both sides by 30:

6x - 30 +30=-60 +30

6x =-30

-Then, you divide both sides by 6:

\frac{6x}{6}=\frac{-30}{6}

x = -5

So, therefore the answer is x = -5 .

5 0
3 years ago
Find the distance between the points (-1,-8) and (-3,-2). Round your answer to the nearest hundredth.
Ket [755]

Answer:

i dont know

Step-by-step explanation:

i dont know

3 0
3 years ago
Other questions:
  • The sum of the ages of Mrs. Spelman and Mr. Murphy are 78 years. Six years from now Mrs. Spelman's age will be equal to 6 times
    11·1 answer
  • Chalene wants to cut her hair but is a little nervous. She decides to cut it off slowly so she can get used to it as it gets sho
    13·2 answers
  • If (8^2)p = 8^4, what is the value of p?
    5·1 answer
  • A cube with the side length of 4 inches has a volume of _____<br> cubic inches.
    9·1 answer
  • K and M are supplementary angles. If m K = 3x + 8 and m M = x + 12, find the m K.
    10·1 answer
  • Please can someone help me with this question. Thanks so much.
    14·2 answers
  • Use the 10 x 10 Grif to express the fraction 11/20 as a percent
    11·1 answer
  • What is the slope of the line passing through the points (6,7) and (1,5)
    12·1 answer
  • What number is in the 100 place 123.456
    15·2 answers
  • Giving brainiest for anyone that answers in the next 10 minutes so please answer
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!