SOLUTION: find the exact values of all trig functions if tan theta= -4/3 and pi/2<theta<pi.

Question 784948: find the exact values of all trig functions if tan theta= -4/3 and pi/2

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the exact values of all trig functions if tan theta= -4/3 and pi/2
***
tan x=-4/3
you are working with a 3-4-5 right triangle in quadrant II
sin x=-4/5
cos x=3/5
csc x=-5/4
sec x=5/3
tan x=-4/3
cot x=-3/4
..
tanx x=π/2
hypotenuse of working right triangle=√(π)^2+2^2)=√(π^2+4)
sin x=π/√(π^2+4)
cos x=2/√(π^2+4)
csc x=√(π^2+4)/π
sec x=√(π^2+4)/2
tan x=π/2
cot x=2/π

RELATED QUESTIONS
If tan(theta)= (sqrt5/2), and pi <0<(3pi/2) what are the exact values of cos(theta),... (answered by lwsshak3)

If tan(theta)=4 find the exact values of a) sec^2(theta) b) cot(theta) c) cot(pi/2-theta) (answered by lwsshak3)

If sin(theta)= (sqrt2)/5, and pi/2 < theta < pi, then find the exact value of tan(2theta) (answered by lwsshak3)

if sin(theta)=5/6, theta in quadrant 2, find the exact value of tan... (answered by lwsshak3)

If tan theta=3/2 and cos theta<0, find the other five trig functions of... (answered by Alan3354)

If cos theta = 1/3, theta in quadrant IV, find the exact value of Tan ( theta +... (answered by lwsshak3)

find exact value of tan 2 theta when given sin theta=3/5 and pi/2 < theta <... (answered by jim_thompson5910)

give the exact value of cos(theta) and tan(theta) if sin(theta)=(2/5) and 0 (answered by Fombitz)
If sin theta=3/10,theta in quadrant II,find the exact value of (a)cos theta... (answered by Alan3354)