SOLUTION: Sin(theta)=(1/5) and theta is in the second quadrant, find the remaining five trigonometric function values

Question 733621: Sin(theta)=(1/5) and theta is in the second quadrant, find the remaining five trigonometric function values
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Sin(theta)=(1/5) and theta is in the second quadrant, find the remaining five trigonometric function values
***
let O=opposite side
let A=adjacent side
let H=hypotenuse
..
sin(x)=1/5=O/H (in Q2)
O=1, H=5
A=-√(H^2-O^2)=-√(25-1)=-√24
..
Trig Functions:
sin(x)=O/H=1/5
cos(x)=A/H=-√24/5
tan(x)=O/A=-1/√24
csc(x)=H/O=5
sec(x)=H/A=-5/√24
cot(x)=A/O=-√24
Note: In Q2, sin>0, cos<0, tan<0
RELATED QUESTIONS
For each given function value, find the remaining five trigonometric function values.... (answered by lwsshak3)

How do i find the remaining five trigonometric function values for Sin delta = 1/5 and... (answered by stanbon)

Find the values of each of the other five trigonometric functions for an angle theta... (answered by ikleyn)

Given sin(theta)=-3/8, and (theta) is in quadrant III, find the exact value of the... (answered by stanbon)

find the remaining trigonometric function of theta if: sin theta =2/3 is in... (answered by stanbon)

find the five remaining trigonometric functions of theta, given that cos theta=-3/5 and... (answered by lwsshak3)

A function value and a quadrant are given. Find the other five functions values. Give... (answered by lwsshak3)

If tan theta= -7/24 and theta is in the second quadrant, find sin theta. (answered by Fombitz)

If the theta lies in quadrant 2 and sin theta equals 1/5, find sec... (answered by Alan3354)