3. sec𝑥cot𝑥−cot𝑥cos𝑥 4. sin𝑥tan𝑥−csc𝑥tan𝑥

[Pages:6]More Practice

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Simplifying and Verifying Trig Identities, Solving Trig Equations

Simplify.

1. cot (tan + cot )

tan +cot

2.

cot

3. sec cot - cot cos

4. sin tan - csc tan

2 2

5. 2-2

2-2

6. 2 2

(sin +tan )2+2-2

7.

tan

2 sin cos +(sin -cos )2

8.

sec

9.

sin (1+sin 1-2

)

-

1

cot 2-cot

10. sin tan +cos

11.

cos + cos

1+sin 1-sin

12.

sin + 1-cos

1-cos sin

Verify the Identities 13. tan sin + cos = sec

14.

1 + tan = 1

tan

sin cos

15. sin - sin 2 = 3

16.

cos + 1+sin = 2 sec

1+sin cos

17.

cos - cos = 2 tan

1-sin 1+sin

18.

2 = csc cos

tan +cot

19.

4-4 2-2

=

1

20.

2 2+1

=

2

21.

1-sin = cos

cos 1+sin

22.

1

-

22

=

2-1 2+1

23. 2 = 2 2 - 1

24.

sec + tan = cos

1-sin

Solve on 0 2 25. 2 cos + 1 - 2 = 3

26. 2 = cot sin

27. (csc + 2)(csc - 2) = 0

28. 2 = cos

29. 2 - 6 sec = 7

30. (tan - 3)(3 sec + 4) = 0

31. 2 - 2 tan = 0

32. 2 = 2 + 1

33. 2 - 2 = 0

34. 8 cos = cot

35.

sin(90?

-

)

+

2

=

1 2

36. 3 - 3 sin - 22 = 0

37. 4 sin + 2 sin - 2 cos - 1 = 0

38. tan - 3 sin = 0

39. 10 sin cos = 6 cos

40. -3 sin = 15 cos sin

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