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
prisoha [69]
3 years ago
14

The point (−3, 1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

θ? Make sure to show all work.
Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0

ANSWER

See below

EXPLANATION

The given point (-3,1) lies in the second quadrant.

In this quadrant only sine is positive.

The length of the hypotenuse formed by the right angle triangle is

{h}^{2}  =  {3}^{2}  +   {1}^{2}

{h}^{2}  =  9 +  1

{h}^{2}  = 10

h =  \sqrt{10}

The side opposite to θ, is 1 units.

The adjacent side is 3 units.

\sin( \theta)  =  \frac{opposite}{hypotenuse}

\sin( \theta)  =  \frac{1}{ \sqrt{10} }  =  \frac{ \sqrt{10} }{10}

\cos( \theta)  =  -  \frac{adjacent}{hypotenuse}

\cos( \theta)  = -   \frac{3}{ \sqrt{10} }  =  -  \frac{3 \sqrt{10} }{10}

\tan( \theta)  =  -  \frac{opposite}{adjacent}

\tan( \theta)  = -   \frac{1}{3}

ELEN [110]3 years ago
6 0

Answer:

The angle is in the second quadrant  so only the sine is positive . 

Length of the hypotenuse = sqrt (-1^2 + 3^2)  = sqrt10

sine  =  1/sqrt10 =  0.3162 to 4 dec places

tangent = 1 / -3 =  -0.3333  to 4 d p's

cosine = -3/sqrt10 = -0.9487 to 4 d, p's.

You might be interested in
two friends have a conversation mario tells roberto "the money i have is twice that you have" roberto answer "if you give me 6 d
crimeas [40]

Answer:

Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.

Step-by-step explanation:

Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.

M = 2R

M - 6 = R + 6

To isolate M, you need to add 6 on both sides.

M - 6 + 6 = R + 6 + 6

M = R + 12

M = 2R

Substitute M for the value above that we found.

R + 12 = 2R

Now we subtract R on both sides, so that only one side has the variable R.

R - R + 12 = 2R - R

12 = R

M = 2R

Substitute for the value of R.

M = 2 x 12

M = 24

3 0
2 years ago
Dimension of triangle A are three times the dimensions of triangle
nikitadnepr [17]
<span>a I took the test on ingenuity</span>
8 0
3 years ago
Read 2 more answers
Solve the system of linear equations. <br>- 3x + 5y = 13 <br> x + 4y = -10 ​
Molodets [167]

Answer:

(-6,-1)

Step-by-step explanation:

5 0
3 years ago
Need a quick answer please
Zanzabum

Answer:

8 fits the equation

Step-by-step explanation:

hope this helps

4 0
3 years ago
What are the slope and y-intercept for the graph of y-4x= -2
RUDIKE [14]

Answer:

The slope is 4 and the y-intercept is (0,-2)

7 0
2 years ago
Other questions:
  • 99 POINTS! NEED HELP ASAP! WILL GIVE BRAINLIEST ANSWER!
    5·2 answers
  • Simplify (7xy)^2 ????
    10·1 answer
  • What is an equivalent fraction to 25/45?
    11·2 answers
  • Find the measure of the indicated angle to the nearest degree
    14·2 answers
  • - 7h + 2(-4h +5) &gt; -4h +1 +10. Solve for h​
    5·1 answer
  • Two triangles are similar with a scale factor of 3. The preimage triangle has a base of 7 inches and a height of 10 inches. What
    15·1 answer
  • Write your answer (168 ÷ 7) × 3^2 - 43
    10·2 answers
  • Please help fast its due in 30 minutes
    5·2 answers
  • Ally wants to attend a Broadway show but needs to figure out a way to get into Manhattan. She wants to take a yellow taxi to Man
    5·1 answer
  • Factor completly x^2 -64
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!