Find the remaining trig functions if cos theta = 3/5. theta in quadrant IV?

trig-functions
theta-in-quadrant-iv

#1

Find the remaining trig functions if cos theta = 3/5. theta in quadrant IV?

Answer:

in 4th quadrant tan,cot,sin,cosec will be negative.
And sec will be positive.
by Pythagoras theorem, we find the perpendicular.
p^2=b^2+h^2(b=base,p=perpendicular,h=hypotenuse)
p^2=3^2+5^2(b=3,h=5)
p=4
now tan theta= - 4/5
cot theta= - 5/4
sec theta= 5/3
sin theta= - 4/5
cosec theta= - 5/4