Question

Find an exact solution to the equation below so that 0 < θ < π.

1 + tan(θ)
--------=0
sin(θ)

Answer 1

What's the only way a fraction can be = 0 ?

Answer 2

when sin theta =0

Answer 3

and thats at 0 degrees

Answer 4

No, in that case the fraction is undefined. It can only be = 0 if the numerator = 0, so you can simply forget sin because it is always positive in the given interval.

So what's your new equation?

Answer 5

What equation would make the numerator = 0?

Answer 6

if tangent equals zero?

Answer 7

Now take the tan inverse of both sides, and you'd get your answer.