Find the exact value of each remaining trigonometric functio
Find the exact value of each remaining trigonometric function of theta if cos theta = 3/5 and 270 degree
Solution
cos =3/5 ,270o<<360o
in the given interval only cos and sec are positive ,sin ,tan ,csc ,cot are negative
adjacent side =3 , hypotenuse =5 , opposite side2+adjacent side2=hypotenuse2
opposite side2+32=52
opposite side2=25-9
opposite side=4
sin=opposite side/hypotenuse =-4/5
tan =sin/cos =(-4/5)/(3/5) =-4/3
csc =1/sin =1/(-4/5) =-5/4
sec =1/cos =1/(3/5) =5/3
cot=1/tan =1/(-4/3)=-3/4
