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
emmasim [6.3K]
3 years ago
12

What are the exact values of the six trigonometric functions for -7pi/6 radians?

Mathematics
2 answers:
laiz [17]3 years ago
7 0
Sin -7π/6 = 0.5
cos -7π/6 = -√3/2
tan -7π/6 = -1/√3
sec -7π/6 = -2/√3
csc -7π/6 =2
cot -7π/6 = -√3

note: -7π/6 radians = -210° degree = -210 +360 = 150° = 5π/6

I have attached the unit circle for the given angle

prohojiy [21]3 years ago
4 0
For -7pi/6 is an angle in second quadrant, then sine and cosecant must be positive; and cosine, secant, tangent and cotangent must me negative.
The reference angle is:
7pi/6-pi=7pi/6-6pi/6=(7pi-6pi)/6=pi/6
Then
sin(-7pi/6)=sin(pi/6)→sin(-7pi/6)=1/2

cos(-7pi/6)=-cos(pi/6)→cos(-7pi/6)=-sqrt(3)/2

csc(-7pi/6)=1/sin(-7pi/6)=1/(1/2)=1(2/1)=2/1→csc(-7pi/6)=2

sec(-7pi/6)=1/cos(-7pi/6)=1/(-sqrt(3)/2)=-1(2/sqrt(3))=-2/sqrt(3)→
sec(-7pi/6)=-[2/sqrt(3)]*sqrt(3)/sqrt(3)=-2sqrt(3)/[sqrt(3)]^2→
sec(-7pi/6)=-2sqrt(3)/3

tan(-7pi/6)=sin(-7pi/6)/cos(-7pi/6)=(1/2)/(-sqrt(3)/2)=-(1/2)*(2/sqrt(3))→
tan(-7pi/6)=-2/[2sqrt(3)]=-1/sqrt(3)=-[1/sqrt(3)]*[sqrt(3)/sqrt(3)]→
tan(-7pi/6)=-sqrt(3)/[sqrt(3)]^2→tan(-7pi/6)=-sqrt(3)/3

cot(-7pi/6)=cos(-7pi/6)/sin(-7pi/6)=[-sqrt(3)/2]/(1/2)=-sqrt(3)/2*(2/1)→
cot(-7pi/6)=-2sqrt(3)/2→cot(-7pi/6)=-sqrt(3)

Answers:
sin(-7pi/6) = 1/2
cos(-7pi/6) = - sqrt(3)/2
tan(-7pi/6) = - sqrt(3)/3
csc(-7pi/6) = 2
sec(-7pi/6) = - 2*sqrt(3)/2
cot(-7pi/6) = - sqrt(3)

You might be interested in
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60% of their plants are flowe
anzhelika [568]
You would need to find 40% of 50. 50x40=2000 then do 2000 divided by 100 to get 20 there are 20 vegetables
6 0
3 years ago
Read 2 more answers
8. Use the information below about an example company to calculate the financial ratios below.
11Alexandr11 [23.1K]
<span>Given:
Net profit before tax = $208,000
Total equity = $500,000
Total assets = $330,000
Total liabilities = $150,000
Current assets = $64,000
Current liabilities= $45,000

Return on Equity = Net Income / Shareholder's equity = 208,000 / 500,000 = 0.416 or 41.6%.

Return on Assets = Net Income / Total Assets = 208,000 / 330,000 = 0.63 or 63%

Debt ratio = Total Liabilities / Total Assets = 150,000 / 330,000 = 0.4545 or 45.45%

Debt to equity ratio = Total liabilities / Total Equity = 150,000 / 500,000 = 0.30 or 30%

Current ratio = Current Assets / Current Liabilities = 64,000 / 45,000 = 1.42</span>
8 0
2 years ago
Help me please it easy.
gregori [183]

Answer: there is no picture attached or equation? what's the question?

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A ramp is placed from a ditch to a main road 2ft. above the ditch. If the length of the ramp is 12ft, how far away is the bottom
Nadusha1986 [10]
See attached picture for solution:

6 0
3 years ago
Will's Pizza can make 12 pizzas in 45 minutes. How many pizzas can they make in 4 hours?
irina1246 [14]

Answer:

64 pizzas

Step-by-step explanation:

4 hours is 240 minutes

12 x (240 / 45) = 64

8 0
2 years ago
Read 2 more answers
Other questions:
  • A cookie shop sells 5 different kinds of cookies. how many different ways are there to choose 16 cookies if (a) you pick at leas
    7·1 answer
  • How do you make x the subject of:<br> 9x + 2 = 6x + 2y.
    11·1 answer
  • Solve the equation <br>-x+8+3x=x-6​
    10·2 answers
  • The main mathematical step used to solve percent proportion is...
    9·2 answers
  • Multiply (4x - 5)(4x + 5).
    7·1 answer
  • PLEASE HELP ME!!!
    9·1 answer
  • LA
    11·1 answer
  • PLSSS HELPPPPPP :(((((
    15·2 answers
  • Anna has made 30
    8·1 answer
  • 1.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!