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

 Find the exact value of each remaining trigonometric function of theta if cos theta = 3/5 and 270 degree Solutioncos =3/5 ,270o<<360o in the given interv

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