Determine if the value of each trig function is positive, negative, zero, or undefined.

a) tan 310 degrees

b) cos 7pi/6

c) sin -245 degrees

d) sec( -7/2)

1 answer

Determine in which quadrant you are in,
then use the CAST rule

e.g.
sin(-245°)
= sin( 115°) , (going 115 counterclockwise is the same as going 245° clockwise )

115° is in quad II
in quad II , sine is positive, so
sin(-245°) is positive

you can always check with your calculator.

in sec(-7/2) , remember that if no units are stated, radians are assumed.
so -7/2 is coterminal with 2π - 7/2 which is appr 2.78