Question

Find sin θ if cot θ = - 2 and cos θ < 0

Answer 1

cosec^2(theta)=1+4=5
or sin(theta)=1/(sqrt5) (as per the question theta lies in the second quadrant hence sin(theta) is +ve)

Answer 2

wouldnt sin be -5?

Answer 3

sin(theta) can never be less than -1

Answer 4

ok so it would be sqrt5/2 right?

Answer 5

can u give reasons for ur answers

Answer 6

for simplicity sin(theta)=1/(cosec(theta))

Answer 7

cosec(theta)=sqrt(1+cot^2(theta))

Answer 8

ahh Thank you (: i understand now