Question

If cot theta =2,where theta is in third quadrant. Find the value of tan theta and cos theta

Answer 1

1+ cot²theta= cosec²theta

1+4= cosec²theta

cosec²theta= 5

cosect theta = √5

therefore sin theta= 1/√5

cot theta= cos theta/sin theta

2= cos theta /(1/√5)

cos theta= 2/√5.....(1st answer )

tan theta= 1/cot theta= 1/2.....(2nd answer)