SOLUTION: Find the exact value of trig functions of theta sin (theta) = - 3/7 given that theta is in quadrant IV I don't understand how to rationalize the problem once I get to: cos

Question 649335: Find the exact value of trig functions of theta
sin (theta) = - 3/7 given that theta is in quadrant IV

I don't understand how to rationalize the problem once I get to: cos = the square root of 1 - 3/49
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value of trig functions of theta
sin (theta) = - 3/7 given that theta is in quadrant IV
**
You are working with a reference angle and right triangle in given quadrant IV
sin=opp side/hypotenuse=-3/7
adjacent side=√(7^2-3^2)=√(49-9)=√40
..
Trig Functions:
sin theta=-3/7
cos theta=√40/7
tan theta=-3/√40=-(3√40)/40
csc theta=-7/3
sec theta=7/√40=(7√40)/40
cot theta=-√40/3
RELATED QUESTIONS
given sin theta= -root 7/4 and theta is in quadrant IV, find the exact value of cos... (answered by lwsshak3)

Gien Sin theta = (-5/13) and theta is in quadrant 3, find the exact value of each of the... (answered by lwsshak3)

How do I do this: Given sin (theta) = (-15/13) and (theta) is in quadrant 3, find the... (answered by lwsshak3)

find the exact value of the remaining trig functions given that cos(theta) = -3/5 and... (answered by solver91311)

1.) sin < 0, tan < 0, what quadrant will both be in? 2.) Find the exact value of... (answered by lwsshak3)

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

Find the other trig functions of theta, given sin theta 3/7 and cos... (answered by Alan3354)

Find the exact value of the other 5 trig functions for theta that terminates in this... (answered by lwsshak3)

find the exact value of sec theta and cot theta let be an angle in quadrant IV such that... (answered by stanbon)