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
Nadusha1986 [10]
3 years ago
9

If θ is an angle in standard position whose terminal side lies in quadrant III and sin θ=-√3/2, find the exact value of the tan

θ

Mathematics
1 answer:
777dan777 [17]3 years ago
6 0

Answer:

C) √3

tanθ = √3

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that  θ be an angle in standard position whose terminal side

Given that the angle

                 sinθ = \frac{-\sqrt{3} }{2}

Given that the Opposite side  AB = \sqrt{3}

                        Hypotensue     AC = 2

<u><em>Step(ii):-</em></u>

<u><em>By using Pythagoras theorem</em></u>

                        AC² = AB² +BC²

                        BC² = AC² - AB²

                       BC²  = 4 - (√3)²

                               = 4-3

                         BC = 1

    Adjacent side(BC)  = 1

<u><em>Step(iiI):-</em></u>

Given that 'θ' lies in the third quadrant so tanθ is positive

                     tanθ = \frac{AB}{BC} = \frac{\sqrt{3} }{1}

                       

You might be interested in
12 – 7x ≤-2 <br> solve and show work
vova2212 [387]

Answer:

x≥2

Step-by-step explanation:

Let's solve your inequality step-by-step.

12−7x≤−2

Step 1: Simplify both sides of the inequality.

−7x+12≤−2

Step 2: Subtract 12 from both sides.

−7x+12−12≤−2−12

−7x≤−14

Step 3: Divide both sides by -7.

−7x/−7 ≤ −14/−7

x≥2

8 0
2 years ago
Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.
maria [59]

ANSWER

8π ft

EXPLANATION

The circumference of a circle is calculated using the formula C=πd.

Where d=8 is the diameter of the circle.

We substitute d=8 into the formula to obtain,

C=8π ft.

Because we are looking for the exact circumference, we leave the answer in terms of π.

6 0
3 years ago
Read 2 more answers
Factor 24x-40 using GCF
posledela

Answer:

8(3x-5)

8 is the GCF of 24 and 40 so you write 8 and in brackets you put your terms after you divide by 8 so you get 3x and -5 so it is written as 8(3x-5)

3 0
3 years ago
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
konstantin123 [22]

<u>Answer:</u>

<u>(6x^(3)+11x^(2)-19x+5)-:-(3x-2)</u>

<u>Step-by-step explanation:</u>63+112+32+1

for some reason it showed that but yeah hope this helps!

4 0
3 years ago
For the orchestra concert, the orchestra director has asked that everyone wear either black pants or a black skirt. Five times a
asambeis [7]

Answer:

A

Step-by-step explanation: 5x10 =50+10 =60 the number of students


8 0
3 years ago
Read 2 more answers
Other questions:
  • The volume of the cube is equal to four times the area of one of its faces. What is the volume of the cube?.
    13·2 answers
  • Which of the following options represents the form of a linear equation that should be used to write the equation of a line when
    13·1 answer
  • ➡️16 cm/hr = m/min⬅️
    9·1 answer
  • How to answer (2n + 2)(6n + 1)​
    9·2 answers
  • Please help solve<br> |-6y+3|=4|y-2|
    12·1 answer
  • Find the 7th term of the geometric sequence a3 =128,r=-1/4
    14·1 answer
  • Consider the following sets:
    13·1 answer
  • Help me! Thanks! Show work too! Please!
    6·2 answers
  • Help me with this please!!!!!!
    7·1 answer
  • Order the fractions from least, to greatest, 3 6 4 5 5 12​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!