Question 825724: If secθ= 4/3 and θ terminates in Quadrant IV, find the exact values for all six trigonometric functions of θ.(sinθ,cosθ, tanθ,cscθ,secθ, and cotθ) You may leave denominators unrationalized.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! If secθ= 4/3 and θ terminates in Quadrant IV, find the exact values for all six trigonometric functions of θ.(sinθ,cosθ, tanθ,cscθ,secθ, and cotθ) You may leave denominators unrationalized.
***
Reference angle in quadrant IV in which sin<0,cos>0,tan<0
secθ=4/3=1/cosθ
cosθ=3/4
sinθ=-√(1-cos^2θ)=-√(1-(9/16))=-√(7/16)=-√7/4
tanθ=sinθ/cosθ=-√7/3
cotθ=-3/√7
cscθ=-4/√7
|
|
|
