Find the exact values of the remaining 5 trigonometric functions of theta. sec theta =-3/√ (13) if the condition is tan theta>0

Question

Please hurry it's due tonight

Answer 1

sect = -3/sqr13 = about -0.832 which is impossible as for any secant to be -1< sect < 1

the absolute value secant of any angle is always greater than or equal to 1

it can never be a proper fraction

sect is always greater than or equal to 1

or always less than or equal to -1

there are no solutions if the problem was copied correctly.

sect <0 and tant>0 suggests the 3rd quadrant

maybe the problem was sect = -sqr13/3 ??

then cost = -3/sqr13 = about 0.832

and t = about 33.7 degrees

sint = about 0.555

tant = 0.666

cott = cost/sint = 1/tant = about 1.5, actually exactly 1.5

csct = 1/sint = 1/.555 = about 1.8

or more precisely

if cost =-3/sqr13 then sqr13 is the hypotenuse, -3 is the adjacent side

and opposite side = -sqr(13-9)= -sqr4 = -2

sint = -2/sqr13

csct =-sqr13/2

tant =-2/-3 = 2/3

cott =3/2 = 1.5