Posted by **stellar** on Friday, October 21, 2011 at 10:57pm.

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)

sin θ cos θ − 2 sin θ = 0

- calculus -
**MathMate**, Friday, October 21, 2011 at 11:44pm
sin θ cos θ − 2 sin θ = 0

factor out sin(θ)

sin(θ)(cos(θ)-2) = 0

Can you take it from here?

- calculus -
**stellar**, Saturday, October 22, 2011 at 12:34am
that is where i got stuck

- calculus -
**Steve**, Saturday, October 22, 2011 at 6:20am
When a product of factors is zero, one of the factors must be zero.

So, either

sin(θ) = 0 or cos(θ)-2 = 0

sin(θ) = 0 when θ = k*pi

cos(θ)-2 = 0 when cos(θ) = 2

but cos(θ) is always less than 1. No solution here.

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