SOLUTION: Given csc theta = 2 sqrt3/3 and -270 degrees< theta< 180 degrees a) determine the exact values of theta b) determine the coordinates of the points on the unit circle where th

Question 1054721: Given csc theta = 2 sqrt3/3 and -270 degrees< theta< 180 degrees
a) determine the exact values of theta
b) determine the coordinates of the points on the unit circle where the terminal arm oof theta intersect the unit circle
c)determine the exact values of cos theta and tan theta
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Given csc theta = 2 sqrt3/3 and -270 degrees< theta< 180 degrees
---
That's Q2
-----
a) determine the exact values of theta
sin = 1/csc = sqrt(3)/2
theta = 120 degs
----------------
b) determine the coordinates of the points on the unit circle where the terminal arm oof theta intersect the unit circle
x = cos(theta)
y = sin(theta)
------
c)determine the exact values of cos theta and tan theta
cos(theta) = -1/2
tan = sin/cos = -sqrt(3)
RELATED QUESTIONS
Use the given information to determine the exact trigonometric value. If csc(theta)=... (answered by stanbon)

Given csc theta = (2 sqr3)/(3) and -270 less than 0 less than 180 determine the exact... (answered by Boreal,MathTherapy)

cos theta= -1/3 and 180 degrees < theta < 270 degrees find the exact values of sin... (answered by Alan3354)

find the exact value of cos 2 theta given cosine of theta = negative 12 over 13 and theta (answered by stanbon)

Use the given information to determine the exact trigonometric value. If cos(theta)=4/5... (answered by stanbon)

Find the exact value of cosine 2 theta given sine of theta = negative 3 over 8 and theta... (answered by lwsshak3)

Find the exact values of sin(2theta), and cos(2theta) if sin(theta)= -9/10 and theta is... (answered by lwsshak3)

Find the exact values of cos theta and sin theta for the angle measure. 180... (answered by stanbon)

Given tan theta= -9/4, where 270 degrees is less or equal than theta and less or equal... (answered by Alan3354)