Suppose there is an angle in standard position whose terminal side intersects the unit circle at (5/13,12/13). Find the exact value of cos0 sec0 cot0.

Answer 1

points on the unit circle are in the form (cos0,sin0)

the unit circle is intersected at (5/13,12/13)

cos0=5/13

sec=1/cos, so sec0=13/5

cot=1/tan=cos/sin

sin0=12/13

cot0=(5/13)/(12/13)

cot0=(5/13)(13/12)

cot0=5/12