Question

Find the other trigonometric functions if If cot x=3/4,xbox lies in the third quadrant​

Answer 1

cotx = 3/4

tanx= 1/cotx = 4/3

cosec²x -cot²x = 1

cosec²x = 1+ 9/4 = 13/4

cosecx = √13/2

in third quadrant cosecx will be negative

cosecx = -√13/2

sinx = 1/cosecx = -2/√13

tanx = sinx/cosx

cosx = sinx /tanx = -2/√13 / 4/3 = -2/√13 × 3/4 =

cosx= -6/4√13 = -3/√13

cosx = -3/√13

secx = 1/cosx = - √13/3