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.Com
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)
RELATED QUESTIONS
The book says:
In each exercise, use identities to find the exact values at α for... (answered by Alan3354)
Find the exact values of sin 2α, cos 2α, and tan 2α given the following... (answered by Alan3354)
Use the given information to find the values of sin α/2 , cos α/2 , tan... (answered by stanbon)
find the exact value of the remaining trig functions given that cos(theta) = -3/5 and... (answered by solver91311)
Find the exact values of the remaining trigonometric functions if sin theta= -4/5 and cos (answered by lwsshak3)
If tan α = 9 and α is acute, find the exact value of sin... (answered by tommyt3rd)
Use the identities to find the exact value of the remaining trigonometric functions if... (answered by chibisan)
Given that cosα=(3/4) and 0<α<(π/2), determine the exact value of... (answered by lwsshak3)
If cosα=0.173 and cosβ= 0.432 with both angles’ terminal rays in Quadrant-I,... (answered by mananth)