Help solving trig equation

**DEADTERMINATOR** · December 2nd 2011, 05:03 PM

"Algebraically solve $sec\Theta csc\Theta cot\Theta$ = 4 where $0\leq \Theta\leq 2\pi$ , to the nearest hundredth of a radian.

So I've done $\frac{1}{cos\Theta} X \frac{1}{sin\Theta} X \frac{cos\Theta}{sin\Theta}$ = 4 which results in $\frac{cos\Theta}{cos\Theta sin^2\Theta}$ = 4. The cosines cancel out leaving the $sin^2\Theta$ . Then I took the square root of that and the 4 and ended up with $sin\Theta$ = 2. But when I enter this into my calculator, I get a domain error. Can I get some help as to where I went wrong and maybe steer me in the right direction?

**DEADTERMINATOR** · December 2nd 2011, 05:06 PM

After I typed it out and looked at it, I saw my rather obvious and embarrassing mistake. Never mind.

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