Verify at least 10 of the identities below. Use pages 2, 3, and 4 to show your work. 1. (tan x + cotx)? = sec2 x + csc2 x 15 2(tan x-cot x) tan' x-cot2 x - = sin (2x) 2. sin* 0 - cos* 0 = sin2 0 - cos2 0 16. sin (10x) cos (5x) sin(9x) +sin x COS (4X) 1-cos x 3 sin x + = 2 cscx sin x 1-cos x 17. tan y = sin(x+y)-sin(x-y) tan x + tan y cos(x+y)+cos(x-y) 1. = tan x tan y cotx+coty 18. sin(3x)+cos(3x) = 1 + 4 sin x cos x cos x-sin x 5. sin# x+cos#x -= 1 - sin x cos x sin x+ cos x 19. - sin(3x)+sin(7x) cos(3x)-cos(7x) - = cot(2x) 6. tan (x -) = - cot x 20. cos x - cos(3x) = 4 sin' x cos x 7. cos(x + y) cos(x - y) = cos2 x - sin y 8. cos (x + + sin (x -") = 0 9. cos (x -= = sin x 10. cot(x + y) = cot x coty-1 cotx+coty 11. cos (5x) - sin(5x) = cos (10x) 12. tan () + cos x tan () = sin x 13. sin(4x) = 4 cos x cos (2x) sin x 14. cos(3x) = cos' x - 3 sin' x cos x