SOLUTION: what are the exact values of the six trigonmetric functions for the following angle 300 degrees? sin 300= cos 300= tan 300= cot 300= sec 300= csc 300=

Question 563845: what are the exact values of the six trigonmetric functions for the following angle 300 degrees?
sin 300=
cos 300=
tan 300=
cot 300=
sec 300=
csc 300=
Answer by Theo(13342) (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

RELATED QUESTIONS
what are the exact values of the six trigonmetric functions for the following angle 135... (answered by ewatrrr)

Find the exact value of the following without calculators: Sin^2 225degrees-cos^2 300... (answered by ikleyn)

Determine the exact value of each of the following and what quadrant they are in, a)... (answered by josgarithmetic,MathLover1)

exact value of cos 300 degrees and sin 300... (answered by stanbon)

use reference angle theorem to find the exact value of each trig function: cos 300 (answered by stanbon)

Find the exact value of sin... (answered by Alan3354)

use the reference angle theorem to find the exact value of each trigonometric value.... (answered by lwsshak3)

For the following problems, find the exact values of the functions(Sin,Tan,Cos,Cot,Sec,... (answered by Alan3354)

what is the exact value of... (answered by rfer)