find the exact value of the trig function at the given numbe

find the exact value of the trig function at the given number. sec(-5pi/6) and cot(-11pi/6)

Solution

sec(-5pi/6)

=sec(2pi+(-5pi/6) )

=sec(7pi/6)

=sec(pi+(pi/6))

=-sec(pi/6)

=-2/3

cot(-11pi/6)

=cot(2pi+(-11pi/6))

=cot(pi/6)

=3