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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