SOLUTION: When x is in quadrant 1 and cosx=1/3, what is sinx?

Algebra.Com
Question 1156023: When x is in quadrant 1 and cosx=1/3, what is sinx?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!




Square both sides



Pythagorean Trig Identity

Subtract cos^2(x) from both sides

Substitution







Apply the square root to both sides. Sine is positive in quadrant 1



This is one way to write the answer





This is another equivalent way to write the answer
RELATED QUESTIONS

If x is in quadrant I and sinx-cosx=1/3, then the value of sinx+cosx is… A)4/3... (answered by math_tutor2020)
Given that sinx=3/5 and it is in quadrant 1. Find... (answered by Cromlix)
Prove using reciprocal and pythagorean identities: (cscx-cotx)/(secx-1)= cotx I have... (answered by jsmallt9)
Given that tanx=-1/2 and x is in the fourth quadrant, what is the exact value of... (answered by stanbon,Alan3354,srinivas.g)
find the exact value of sin2x, and tan2x given cosx=2/3 and x is in quadrant... (answered by Alan3354)
let cosx=1/3 and assume that x is in quadrant 4. Determine the exact value of... (answered by lwsshak3)
If sinx = -3/5 and x is in quadrant III, then what is sin2x, cos2x, and tan2x? (answered by lwsshak3)
Given that sinx=3/5 and it is in quadrant 1. Find sin2x and cos 2x and tan... (answered by ikleyn)
sinx= 4/5 x is in quadrant II cosx= tanx= cotx= secx=... (answered by Theo)