Find all trigonometric values of 300degree
Answers
Answer:
Use the trig unit circle as proof.
sin
300
=
sin
(
−
60
+
360
)
=
sin
(
−
60
)
=
−
sin
60
=
−
√
3
2
cos
300
=
cos
(
−
60
+
300
)
=
cos
60
=
1
2
tan
300
=
−
√
3
2
:
(
1
2
)
=
−
√
3
cot
300
=
1
√
3
=
−
√
3
3
sec
300
=
1
cos
300
=
−
2
√
3
=
−
2
√
3
3
csc
300
=
1
sin
300
=
2
Answer:
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Step-by-step explanation:
Answer by Theo(10497) (Show Source): You can put this solution on YOUR website!
300 degrees is in the fourth quadrant.
the equivalent angle in the first quadrant would be 360 - 300 = 60 degrees.
this is a common angle that you can find the exact trigonometric functions for.
they are:
sin(60) = sqrt(3)/2
cos(60) = 1/2
tan(60) = sqrt(3)
cot(60) = sqrt(3)/3
sec(60) = 2
csc(60) = 2*sqrt(3)/3
that's the equivalent angle in the first quadrant where all trigonometric functions are positive.
when the angle is in the fourth quadrant, the signs of the trigonometric functions are as follows:
sine = negative
cosine = positive
tangent = negative
cotangent = negative
secant = positive
cosecant = negative
based on that, then:
sin(300) = - sqrt(3)/2
cos(300) = + 1/2
tan(300) = - sqrt(3)
cot(300) = - sqrt(3)/3
sec(300) = + 2
csc(300) = - 2*sqrt(3)/3
note that:
cotangent = 1 / tangent
secant = 1 / cosine
cosecant = 1 / sine