trig identities, double angle, half angle

 $If\ \sin\theta\ =\ \frac{4}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \sin2\theta$  

 $If\ \sin\theta\ =\ \frac{4}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \sin\left(\frac{\theta}{2}\right)$  

 $If\ \sin\theta\ =\ \frac{-4}{5},\ where\ \pi\le\theta\le\frac{3\pi}{2},find\ \sin2\theta$  

 $If\ \sin\theta\ =\ \frac{-4}{5},\ where\ \pi\le\theta\le\frac{3\pi}{2},find\ \tan2\theta$  

 $If\ \cos\theta\ =\ \frac{3}{5},\ where\ 0\le\theta\le\frac{\pi}{2},find\ \cos2\theta$  

 $If\ \sin\theta\ =\ \frac{4}{5},\ where\ \frac{\pi}{2}\le\theta\le\pi,find\ \cos2\theta$  

 $If\ \sin\theta\ =\ \frac{4}{5},\ where\ \frac{\pi}{2}\le\theta\le\pi,find\ \sin2\theta$  

 $If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \sin2\theta$  

 $If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \sin\theta$  

 $If\ \tan\theta\ =\ \frac{-4}{3},\ where\ \frac{3\pi}{2}\le\theta\le2\pi,find\ \cos2\theta$