Trigonometry Review Sheet: Basic Facts | MATH 12002, Study notes of Trigonometry

Lecture Notes for MATH 12002 - ANALYTIC GEOMETRY AND CALCULUS I with White at Kent State (KSU)

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MATH 12002
TRIGONOMETRY REVIEW
Review the basic facts of trigonometry in Appendix A.
It will be assumed that you know:
Equations: 1, 4, 5, 6, 7, 8, 10(a,b), 11.
These include right triangle definitions of trigonometric functions, relationships
between trigonometric functions, and basic identities.
Graphs: sin x, cos x, tan x.
Values: All trigonometric functions at all special angles; i.e., at all multiples of:
π
6,
π
4,
π
3,
π
2, π.
These can be memorized using the table on page A4, or calculated as needed using
the right triangles below (found on page A3):
1
21
π
4
π
4
1
3
2
π
3
π
6
Any answers involving these values must be given as exact values. For example,
sin 2π
3=3
2,
and not 0.8660254038.
You need not have memorized, but should be aware of and know where to find:
Equations: 9, 12(a,b), 13(a,b), 14(a,b), 15(a,b), 16(a,b), 17(a,b), 18(a,b,c).
Graphs: sec x, cot x, csc x.

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MATH 12002

TRIGONOMETRY REVIEW

Review the basic facts of trigonometry in Appendix A.

It will be assumed that you know:

Equations: 1, 4, 5, 6, 7, 8, 10(a,b), 11.

These include right triangle definitions of trigonometric functions, relationships between trigonometric functions, and basic identities.

Graphs: sin x, cos x, tan x.

Values: All trigonometric functions at all special angles; i.e., at all multiples of:

π

6

π

4

π

3

π

2

, π.

These can be memorized using the table on page A4, or calculated as needed using the right triangles below (found on page A3):

π 4

π 4















 

π 3

π 6

Any answers involving these values must be given as exact values. For example,

sin

( 2 π

3

)

and not 0 .8660254038.

You need not have memorized, but should be aware of and know where to find:

Equations: 9, 12(a,b), 13(a,b), 14(a,b), 15(a,b), 16(a,b), 17(a,b), 18(a,b,c).

Graphs: sec x, cot x, csc x.