Trignometric Worksheet

[asimon2005]

I need help on how to do these problems.

3. cos^2x= cscx sinx- sin^2x

13. sin^2x + sin^2xtan^2x= tan^2x

25. (1-cos x) (1+ cos x)= 1/csc^2x

27. 1-cos A/sin A= csc A- cot A

29. 1+ sec x/csc x= sin x +tan x

31. sin x/1+ cosx + cot x= csc x

33. cot A/ tan A + tan A/ cot A= cot^2 A + 1/ cot^2 A

39. cos 2A= 2-sec^2 A/ sec^2 A

41. tan2?= 2 tan ?/ sec^2?- 2tan^2?.

I really need help on how to these problems. Can someone please show me.

 

[fasteddie65]

I'll do just three of these. You need to struggle through the rest.

3. cos^2 x = csc x sin x - sin^2 x
1 - sin^2 x
cos^2 x

13. sin^2 x + sin^2 x tan^2 x = tan^2 x
sin^2 x (1 + tan^2 x)
sin^2 x sec^2 x
sin^2 x/cos^2 x
tan^2 x

25. (1- cos x) (1+ cos x)= 1/csc^2 x
1- cos^2 x
sin^2 x sin^2 x

The rest are basically the same. Work with one side, often translating to sines or cosines, and work until it equals the other side. Do not work with both sides at the same time.