Trig Math Question?

Question

Find the exact values of the 6 trigonometric functions of the angle theta (0) if the angle is in standard position and its terminal side bisects the 3rd quadrant.

cot0 -

tan0 -

sin0 -

sec0 -

csc0 -

cos0 -

Answer 1

the angle is 225 degrees or 5pi/4

it creates a right triangle with sides 1,1 and sqr2 as the hypotenuse

cotx = adjacent side over opposite side = 1/1 = 1

tanx =1/cot = 1

sinx =-opposite side over hypotenuse = 1/sqr2 = sqr2/2

csc =-1/sinx = sqr2

cosx = adjacent side over hypotenuse = -1/sqr2= -sqr2/2

secx =1/cosx = -sqr2