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
kobusy [5.1K]
3 years ago
10

If sin theta= 2/3 and tan theta<0, what is the value of cos theta

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0
Cos
θ
=
√
5
3

or it could be cos
θ
=
√
5
−
3

Explanation:
Since sin
θ
is negative, it can be in the third or fourth quadrant
Drawing your right-angled triangle, place your
θ
in one of three corners. Your longest side will be 3 and the side opposite the
θ
will be -2. Finally, using Pythagoras theorem, your last side should be
√
5

Now, if your triangle was in the third quadrant, you would have
cos
θ
=
√
5
−
3
since cosine is negative in the third quadrant
But if your triangle was in the fourth quadrant, you would have
cos
θ
=
√
5
3
since cosine is positive in the fourth quadrant
PilotLPTM [1.2K]3 years ago
6 0

Answer: - sqrt 5 / 3

Step-by-step explanation:

You might be interested in
Evaluate the expression 4b-6d if b = 7 and d=3
viktelen [127]

Answer:

<em>1</em><em>0</em>

Step-by-step explanation:

4*7 - 6*3

\/ \/

28 - 18

\ /

= 10

3 0
3 years ago
5x 179∘=7x 157∘ what is x?
katen-ka-za [31]
I got X=11

Minus 7x on both sides
The equation the becomes :
-2x +179=157
Subtract 179 from both sides
Equation now is:
-2x= -22
Divide -2 on both sides
X= 11
4 0
3 years ago
Select the works written by Augustine of Hippo.
Alex73 [517]

Answer:

Consolation of Philosopy..

5 0
3 years ago
What is the answer I need help? <br>PLZ HELP ME
Firlakuza [10]
Use an app called Socratic, take a photo of the questions you're stuck on, then it will help you in stages and show you the answer.

This app gives you *instant* homework answers, all subjects Get it: https://socratic.org/a/p04dj0084n

6 0
3 years ago
Jimmy made 16 quarts of lemon juice. How many liters of lemon juice did Jimmy make? 1 gallon = 4 quarts 1 gallon = 3.785 liters
nexus9112 [7]
The answer is 15.14

1 gallon = 4 quarts
1 gallon = 3.785 liters

16 quarts = 4 gallons
4 x 3.785 = 15.14
3 0
3 years ago
Read 2 more answers
Other questions:
  • How can the equation of a parabola be derived when given the focus and the directrix
    10·1 answer
  • Simplify this question <br> 8a-6(1-6a)
    5·1 answer
  • A box of tiles contains 225 tiles. Mai needs 163 tiles for her art project, and her friend Beth needs 72 tiles for her project.
    14·1 answer
  • Your computer supply store sells two types of inkjet printers. The first, type A, costs $267 and you make a $24 profit on each o
    14·1 answer
  • Write the additive and multiplicative inverse of -1/2​
    11·2 answers
  • Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-o
    6·1 answer
  • SOSOSOSOSOSOSOSOSOSOSOS
    5·2 answers
  • -3(x-2) + 3x=9<br> -3(x-2) + 3x=9
    5·1 answer
  • Answer plzzzzzz ’’’’’’
    13·1 answer
  • Find value of the expressions a=4, b=2 and c=3 then 3a + 2b - 4c​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!