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tangare [24]
3 years ago
9

I need to know what the answer is please ?

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0
???????????? I don’t get it?
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What are the exact values of the six trigonometric functions for -7pi/6 radians?
prohojiy [21]
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)

4 0
3 years ago
Read 2 more answers
Sin x = cos 15 and 0 < x < 90, what is x
cluponka [151]

Answer:

a letter

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the value for β that makes cosβ = sin15 true.
Gemiola [76]

Answer:

Step-by-step explanation:

This is an equation for which you need to solve for the value of the missing angle beta.

cos\beta =sin(15)

sin(15) has a decimal answer that you will find on your calculator.  Finding that value makes this equation then

cosβ = .2588190451

Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal.  When you hit 2nd then cos, you should see this on your screen:

cos⁻¹ (

After that open parenthesis, enter you decimal then hit the enter button to find the angle.  You should get 75, which is Choice B.

8 0
3 years ago
rollercoaster can accommodate 1600 passengers per hour. If you are number 346 in line, how many minutes do you have to wait?
Effectus [21]

Answer:

13.31 minutes  

Step-by-step explanation:

800 in 30min

400 in 15 min

26 passengers in an min

346/26

13.31 minutes  

8 0
3 years ago
For this spinner, what are the following probabilities? Answer in simplest fraction form using the form: x/y
luda_lava [24]
<h2>P(4) = 1/8</h2><h2>P(5) = 2/8 = 1/4</h2><h2>P(6) = 3/8</h2><h2>P(7) = 2/8 = 1/4</h2><h2>P(even number) = 4/8 = 1/2 </h2>
7 0
2 years ago
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