Trig Help Needed

[MegaPrick]

Simplify:
(5 cos??)/sin^2?? ×sin^2???-sin?cos??/sin^2???-cos^2?? ?
I dont know where to begin so please help

 

[Deleted member 4993]

Simplify:
(5 cos??)/sin^2?? ×sin^2???-sin?cos??/sin^2???-cos^2?? ?
I dont know where to begin so please help

Your post is not displaying correctly on my monitor (Vista).

 

[soroban]

Hello, MegaPrick!

I'll take a guess at what you meant . . .

\(\displaystyle \text{Simplify: }\; \frac{5\cos\theta}{\sin^2\!\theta}\cdot\frac{\sin^2\!\theta - \sin\theta\cos\theta}{\sin^2\theta - \cos^2\!\theta}\)

\(\displaystyle \text{Factor: }\;\frac{5\cos\theta}{\sin^2\!\theta} \cdot\frac{\sin\theta(\sin\theta - \cos\theta)}{(\sin\theta - \cos\theta)(\sin\theta + \cos\theta)}\)

\(\displaystyle \text{Reduce: }\;\frac{5\cos\theta}{\sin^2\!\theta}\cdot\frac{\sin\theta}{\sin\theta + \cos\theta} \;=\;\frac{5\cos\theta}{\sin\theta(\sin\theta + \cos\theta)}\)