SOLUTION: Use identities to find the exact values at α for the five remaining trig. Functions if cos⁡α=-√3/5 and α is in quadrant III
Algebra ->
Trigonometry-basics
-> SOLUTION: Use identities to find the exact values at α for the five remaining trig. Functions if cos⁡α=-√3/5 and α is in quadrant III
Log On
Question 801918: Use identities to find the exact values at α for the five remaining trig. Functions if cosα=-√3/5 and α is in quadrant III Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Use identities to find the exact values at α for the five remaining trig. Functions if cosα=-√3/5 and α is in quadrant III where sin<0, cos<0, tan>0
***
sinα=-√(1-cos^2α)=-√(1-3/25)=-√(22/25)=-√22/5
cscα=1/sinα=-5/√22=-5√22/22
secα=1/cosα=-5/√3=-5√3/3
tanα=sinα/cosα=√(3/22)
cotα=1/tanα=√(22/3)