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User Rosenpin
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2 Answers

2 votes

Explanation:

User Brandon Leiran
by
8.1k points
5 votes

Answer:


cos(x)=-(√(3) )/(2)


sin(x)=(1)/(2)


tan(x)=-(1)/(√(3) )


csc(x)=2


sec(x)=-(2)/(√(3))


cot(x)=-√(3)

Explanation:

(I'll just use x for ease of writing)

We have the trig equation
cos(x)=-(√(3) )/(2), and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is
(5\pi)/(6) which has an ordered pair of
(-(√(3) )/(2),(1)/(2) )


sin(x)=y, so
sin(x)=(1)/(2)


tan(x)=(y)/(x), so
tan(x)=((1)/(2) )/(-(√(3) )/(2) )=-(1)/(√(3) )

Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.


csc(x)=(1)/(sin(x)), so
csc(x)=2


sec(x)=(1)/(cos(x)), so
sec(x)=-(2)/(√(3))


cot(x)=(1)/(tan(x)), so
cot(x)=-√(3)

User Nikso
by
8.6k points

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