SOLUTION: Find the values of the six trigonometric functions of theta: Function Value: sintheta=3/8 Constraint: costheta<0

Algebra.Com
Question 846801: Find the values of the six trigonometric functions of theta:
Function Value: sintheta=3/8
Constraint: costheta<0

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Find the values of the six trigonometric functions of theta:
Function Value: sintheta=3/8
Constraint: costheta<0
***
Given data shows reference angle is in quadrant II in which sin>0, cos<0
Use x for theta:
sinx=3/8
cosx=-√1-sin^2(x)=-√(1-9/64)=-√(55/64)=-√55/8
tanx=sinx/cosx=-3/√55=-3√55/55
cscx=8/3
secx=-8/√55=-8√55/55
cotx=-√55/3

RELATED QUESTIONS

Find the values of the six trigonometric functions of θ with the given constraint.... (answered by stanbon)
Find the values of the six trigonometric functions of θ with the given constraint.... (answered by jsmallt9)
Find the exact value of the remaining five trigonometric function of theta. tan theta= (answered by solver91311)
Find the values of the six trigonometric functions of θ with the given constraint.... (answered by stanbon)
Find the values of the six trigonometric functions of θ with the given constraint.... (answered by Alan3354,solver91311)
If cot(theta) is undefined, and cos(theta) < 0, what are the values of the six... (answered by ikleyn)
Find the value of the six trigonometric functions for theta =... (answered by Boreal)
Find the exact values of the six trigonometric functions of theta if the terminal side of (answered by Fombitz)
sec of theta= -6 given that sin theta is > 0. find the remaining six trigonometric... (answered by stanbon)