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
klemol [59]
1 year ago
7

In a given right triangle, If 0 º < x < 90 º and cos x = √ 3 / 2, then sin x = ?

Mathematics
1 answer:
nordsb [41]1 year ago
6 0

Answer:

  1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

<h3>Pythagorean relation</h3>

The relation between sine and cosine is the identity ...

  sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

  sin(x) = √(1 -cos(x)²)

<h3>Application</h3>

For the present case, using the given cosine value, we find ...

  sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

  sin(x) = 1/2

__

<em>Additional comment</em>

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

  sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.

You might be interested in
What is the answer of this question ?
Natasha2012 [34]

Answer:

Step-by-step explanation:

They are both C3H8

There are

3 carbons

8 hydrogens

Or put in the form that the table is written

Element          # of atoms  

Hydrogen           8

Carbon                3

4 0
2 years ago
Theresa has $12 in nickels and quarters. If she has the same number of each kind of coin, how many nickels and quarters does she
postnew [5]

Answer: She has 40 nickels and 40 quarters .

Step-by-step explanation:

Let be "n" the number of nickels Theresa has and "q" the number of quarters Theresa has.

You know that she has a total of $12 in nickels and quarters. In cents, this is:

\$12*100=1,200\ cents

Then, based on this you can write the following expression:

5n+25q=1,200

Since n=q, you can rewrite it as:

5n+25n=1,200

Solving for "n", you get:

30n=1,200\\\\n=\frac{1,200}{30}\\\\n=40

Therefore she has 40 nickels and 40 quarters .

7 0
3 years ago
A right triangle includes one angle that mesures 30 degrees. What is the measure of the third angle?
Airida [17]

The third angle is 60 degrees. A triangle has 180 degrees so 180-30-90=60

5 0
3 years ago
Read 2 more answers
Which is the correct answer?
patriot [66]
I think the answer is B
7 0
3 years ago
Whats 1+1 lol I need help
ryzh [129]

Answer:

Baby 1

Step-by-step explanation:

Mommy 1 and Daddy 1 have some fun, they had so much fun that they made baby 1

6 0
2 years ago
Read 2 more answers
Other questions:
  • I’m trying to find tan B
    14·2 answers
  • Which rectangle is similar rstu
    13·2 answers
  • Describe the angles of an obtuse triangle?
    5·2 answers
  • Determined the quadrant for an angle with the following characteristics: cotθ&gt;0 and cscθ&gt;0.
    14·2 answers
  • (x2 + 3x – 4) + (2x3 - 2x + 5)​
    13·2 answers
  • What kind of triangle Is ACD
    13·1 answer
  • Miast
    11·1 answer
  • Aight come on i need the answer to this question
    15·1 answer
  • Can anyone help me with my homework?
    15·1 answer
  • The difference of two numbers is 6 and their quotient is 2 what are the two numbers
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!