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
A road rises 50 feet over a horizontal distance of 600 feet. What is the slope of the road?
Hatshy [7]

Answer:

1/12 (or 0.833)

Step-by-step explanation:

Recall that the definition of "slope" is the change in vertical distance divided by the change in the horizontal distance. (aka. rise ÷ run)

it is given that rise = 50 feet and the horizontal distance (i.,e "run") = 600feet

hence slope = rise / run = 50 / 600 = 1/12 (or 0.833)

6 0
3 years ago
Read 2 more answers
Not sure what this question is asking...
zalisa [80]
3)

\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
\cfrac{-9}{2x^5}\implies \cfrac{-3^2}{2x^5}\implies \cfrac{-3^2}{1}\cdot \cfrac{1}{2}\cdot \cfrac{1}{x^5}\implies -\cfrac{1}{3^{-2}}\cdot 2^{-1}\cdot x^{-5}
\\\\\\
-\cfrac{2^{-1}x^{-5}}{3^{-2}}



4)

\bf 5^{-2}+5^0\implies \cfrac{1}{5^2}+1\implies \cfrac{1}{25}+1\implies \cfrac{1+25}{25}\implies \cfrac{26}{25}
6 0
3 years ago
Pleasee guyssss. I need to fill this space haha
Inga [223]

Answer:

Center: (-13,-2) Radius: 9

Step-by-step explanation:

because i know

5 0
3 years ago
Read 2 more answers
60 POINTS PLEASEEEEEEEEEEE
leonid [27]

Answer:

It is B. (0,1)

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Ever
Svetach [21]

Answer:

19/72

Step-by-step explanation:

To calculate the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?

We already know the number that liked chess only which is 10, we have to solve for those that liked swimming only which is

8+7+16+x = 40

x which represent swimming only is

40-31 = 9

Thus probability = 10/72 + 9/72 = 19/72

3 0
3 years ago
Other questions:
  • You have a land-line telephone that costs $25.95/month plus a utilities tax of 4.5%. How much will you pay for your telephone us
    12·2 answers
  • How is 16/7 simplified???????
    11·1 answer
  • the bus fare in a city is $2.00. people who use the bus have the option of purchashing a monthly coupoun book is $20.00. with th
    10·1 answer
  • a woman had 75 to give away she gave the first person 1/3 of it then the second person 1/5 of the balance how mucb money did she
    10·1 answer
  • What is 10 + 6+ 1+ 1+ 1+ 1 +2 +100 Ill give you 24 pts
    10·2 answers
  • The monthly earnings of computer systems analysts are normally distributed with a mean of $4,300. If only 1.07% of the systems a
    6·2 answers
  • Can someone please answer the most recent question here's some points
    11·1 answer
  • Which best describes the equation that the graph represents?
    12·1 answer
  • Helpppp plssssss: ))))
    6·1 answer
  • The wholesale cost for a baseball glove at a sporting goods store is $16.50. The store plans to mark up the glove by 120%.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!