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
Serga [27]
3 years ago
13

If cosine theta equals negative square root of three over two and pi over two less than theta less than pi, what are the values

of sin Θ and tan Θ?
sine theta equals negative one half, tangent theta equals square root of three over three
sine theta equals negative one half, tangent theta equals negative square root of three over three
sine theta equals one half, tangent theta equals negative square root of three over three
sine theta equals one half, tangent theta equals square root of three over three
Mathematics
2 answers:
Natalka [10]3 years ago
7 0
<h2>Answer:</h2>

The values of sinθ and tanθ are:

\sin \theta=\dfrac{1}{2}

and

\tan \theta=-\dfrac{1}{\sqrt{3}}=-\dfrac{\sqrt{3}}{3}

<h2>Step-by-step explanation:</h2>

It is given that:

\cos \theta=-\dfrac{\sqrt{3}}{2}

where

\dfrac{\pi}{2}

i.e. the angle θ lie in the second quadrant.

Also, we know that in the second quadrant sine and cosecant function is positive.

whereas cosine,secant, tangent and cotangent functions are negative.

Now, we know that:

\cos (\dfrac{5\pi}{6})=-\dfrac{\sqrt{3}}{2}

i.e. here

\theta=\dfrac{5\pi}{6}

Hence, we have:

\sin (\theta)=\sin (\dfrac{5\pi}{6})\\\\i.e.\\\\\sin \theta=\dfrac{1}{2}

Also,

\tan \theta=\dfrac{\sin \theta}{\cos \theta}\\\\i.e.\\\\\tan \theta=\dfrac{\dfrac{1}{2}}{\dfrac{-\sqrt{3}}{2}}\\\\i.e.\\\\\tan \theta=\dfrac{1}{-\sqrt{3}}\\\\i.e.\\\\\tan \theta=-\dfrac{1}{\sqrt{3}}

Now, on rationalizing we have:

\tan \theta=-\dfrac{\sqrt{3}}{3}

rosijanka [135]3 years ago
4 0

Answer:

sin θ = 1/2

tan θ = -√3 / 3

Step-by-step explanation:

cos θ = -√3 / 2, π/2 < θ < π

θ is in the second quadrant, so θ = 5π/6.

sin θ = 1/2

tan θ = sin θ / cos θ = -√3 / 3

You might be interested in
A taxi travels 25 km east of airport. Then it travels from that point to a point that is 40 km west of the airport. Finally the
Marizza181 [45]
The answer is:  " 95 km " .
__________________________________________________
Explanation:
__________________________________________________

                                   ("airport")
                                           •     {Step 1):       " 25 km east "               •<span>  
                                           </span>│===============================>  <span>│

                           </span>•  {Step 2):       " 40 km west ["of that point"] " ;        •                                             │<==========================================│<span>  
             
                          </span>•  {Step 3:  [back to airport] = " (40 km − 25 km) " ;

                                            • ("airport").
                         │=======>│
<span> _________________________________________________
                          
<u> Note</u>:  To find "total distance traveled:

" 40 km +</span> (40 km) + (40 km <span>− 25 km) " ; 

= </span>" 40 km + (40 km) + (15 km) " ;

= " 40 km + 40 km + (15 km) " ;

= 80 km + 15 km  ;   

=  95 km .
____________________________________________________
<span>
The answer is:  " 95 km <span>" .
</span>____________________________________________________

</span>
4 0
3 years ago
Given: angle 2 and angle 4 are vertical angles Prove: angle 2 congreunt angle 4
7nadin3 [17]

Answer:

Step-by-step explanation:

7 0
2 years ago
PLEASE I NEED HELP URGENTLLY, AND PLEASE SHOW WORK
kvasek [131]

Answer:

Ok, so I say that the answer is 100

5 0
3 years ago
HELP ME PLSSSSSSSS 4.9 times 6.7????????? &lt;3
Crank

Answer:

4.9*6.7 = 32.83

6 0
3 years ago
Read 2 more answers
Suppose that g(x) = f(x) + 2. Which statement best compares the graph of
Xelga [282]

Answer:

Step-by-step explanation:

1. A cell is identified by its ........

a. Cell pointer b. cell address c. Box

2. When you measure cones, in which directions you should click on the dots

representing cones.

a. clockwise b. Anticlockwise c. Straight

3. Name the software that can make models of molecules included in

GNU/Linux ?

a. Geogebra b. Kalzium c. Ghemical

4. The abbreviation for Physics Education Technology?

a. PhET b. PHET c. PheT

5. For giving background colour to a slide, click ................. in Slide Menu

a. Character b. Properties c. Paragraph

8 0
2 years ago
Other questions:
  • Find the value of two numbers is there some is 12 and there difference is 4
    15·1 answer
  • What is the answer for the equation 2-(4x)=0
    8·1 answer
  • I hate math i need help again
    9·1 answer
  • Brian is 6 feet tall and cast a 12 foot shadow. At the same time, Shirley casts a 9 foot shadow. How tall is shirley?
    7·1 answer
  • What is the mean of the set of data given below? 13 8 9 6 10 8​
    5·1 answer
  • 27÷819= <br> give me the quotient for 27÷819
    13·1 answer
  • Is it (sometimes true/never true) that all three altitudes of a triangle fall outside the triangle?
    11·1 answer
  • Find the midpoint of PQ with endpoints P(0, 2) and Q(6, -2). Then write an equation of the line that passes through the midpoint
    9·1 answer
  • 108 cookies in 36 minutes. how many cookies did he decorate per minute?
    9·2 answers
  • How do I solve this inequality?<br>(I'll give brainliest if you answer with the steps and answer!)​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!