Please prove the following trig identities.

i rig Identities Practice Day 5 Prove the following identities 1. (cos x - sin x) 2 = 1 - 2 sin x cos x 2. cos x sin x+ cos 3x - = cotx sin x 1 1 1 + = 2csc2x 4. + 1-cos x 1+cos x sin z x cos 2 x sin 2x cos 2x ( 1-cos x ) (1+ cosx) It cos n - cos x - cas x2 1 - cos x 2 sinx- 1-cost 14COSX Sinx 2 sin y Sin xat ! Sin ja =2 sec 2 x 2 sec *x = 2 sec *x5. tan 0 cos 0 + csc Osin20 = 2 sin 0 6. sin 20 cos 8 = sec 0 - cos 0 7. sintx - costx = sin2x - cos2x 8. sin 0 cot 0 - + cos 0 = sec 0