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
butalik [34]
2 years ago
15

If sin theta = 1/3 and tan theta < 0, what is the value of cos theta?

Mathematics
1 answer:
STatiana [176]2 years ago
5 0
If sin Ф=1/3>0 and tan Ф<0; then Ф belongs to the second quadrant and cos Ф will be negative (cos Ф<0).

sin²Ф+cos²Ф=1
(1/3)²+cos²Ф=1
1/9+cos²Ф=1
cos²Ф=1-1/9
cos²Ф=8/9
cos Ф=⁺₋√(8/9)=⁺₋2√2 / 3

We have two possible solutions.
cos Ф=2√2 / 3 This solutions is not possible, because in this case cos Ф has to be negative (cos Ф<0)

cos Ф=(-2√2) / 3 this solutions is right.

answer:B. -2 square root 2 /3    (or    (-2√2) /3  )
You might be interested in
2.4 + 5.4q – 4.5q + 3.6<br><br> a.6+1.1q<br> b.9.9q+6<br> c.0.9q+6<br> d.9.9q-6
Yuri [45]
You have to add the same kind of terms, in this case the ones that have a variable (5.4q and -4.5q) and the ones that don't (2.4 and 3.6), like this:

(5.4q - 4.5q) + (2.4 + 3.6) = 0.9q + 6

The answer is c. 0.9 +6

8 0
3 years ago
What is 5136 divided by 8
frutty [35]
5136/8 is equal to 642.

You can use a calculator if you'd like.
4 0
3 years ago
Read 2 more answers
How many rational numbers are between -2 and 5?
Butoxors [25]
The answer is 7 because 2 to 5 is 3 and -2 to 5 I 7
4 0
3 years ago
50 Points!!
charle [14.2K]

1. 2\cdot(8-3)-6=2\cdot5-6=4

2. 14c-6=22\implies14c=28\implies c=2

3. 2x+18=5x\implies 3x=18\implies x=6

4. 18-c+9c+6=24+8c

5. 8x=-56\implies x=-7

Hope this helps :)

3 0
2 years ago
Which number satisfies the inequality 9h + 15 &gt; 55?
telo118 [61]
9h + 15 > 55
     - 15    - 15
9h > 40
h > 40/9
h > 4.44444.
any number greater than 4.44444
4 0
3 years ago
Read 2 more answers
Other questions:
  • Dante has been weightlifting according to a chart for the past 3 days. Today is the fourth day and he accidentally tore off the
    12·1 answer
  • A cube with 4 faces has a length of 4.5cm.find the total surface area​
    7·2 answers
  • What is a sequence of transformations?
    6·1 answer
  • A machine fills 64-ounce jugs with detergent. Assume the distribution of the amount of detergent in these jugs is Normal. Under
    11·1 answer
  • X=y/20-1/4 solve for y and show properties
    13·1 answer
  • In one semester, doug and Laura spent a combined 250 hours in the tutoring lab. If doug spent 40 more hours in the lab then Laur
    11·1 answer
  • (I-Ready lesson)<br><br> What is the volume of the prism? Please help asap!
    10·2 answers
  • The volume of a cube can be found using the formula V=s^3, where s represents the length of each side of a cube. Find the volume
    5·1 answer
  • Easy math please help i'll mark brainliest
    13·2 answers
  • I need help with how to do this, the way it's worded is confusing me and I need this done by tomorrow.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!