Please prove the following trigonometric identities by showing that the left-hand side is equivalent to the right- hand side. You may use any of the identities that you wish. Sometimes you may find that some problems use more than one identity. Keep in mind that there is no one right way to do these problems. You can solve identities using a variety of methods. Be creative and have fun with it! The best thing you can do is just to try the problems. If you get stuck, try again. This is the only way that you will get comfortable with solving identities. Be sure to manipulate the LS and RS independently, and include an appropriate conclusion. Each identity below is worth 3 Thinking marks for a total of 15 Thinking marks. sin 2t sec t - tan t sec t + tan t cos2 t cos' t - 1 sin2 t - tan t 2. cos2 t tan t tan t sin t 1 + cot t 2 sin tcos t + (sin t - cos t)2 3. - sin t = csc t sec t sin t 1 - cos t 2 sin t 4. 1 - cos t sin t 1 - cos2 t 2 tan t - tan t (2 sin2 t) 2 - 2tan t 5. sin t cos t + 2sec-t - 2 cos2 t + tan t cos2 t