Trigonometry Lecture Notes, Section 5.1
5.1 Day 1 Fundamental Identities
Big Idea: Identities can be used to simplify complicated trig equations.
Big Skill: You should be able to use the basic identities in this section to manipulate trigonometric expressions.
Reciprocal Identities:
[pic] [pic] [pic]
Quotient Identities:
[pic] [pic]
Pythagorean Identities:
[pic] [pic] [pic]
Negative-Angle Identities:
[pic] [pic] [pic]
[pic] [pic] [pic]
MATCHING
1. = A. sin2x + cos2x
2. tan x = B. cot x
3. cos(-x) = C. sec2x
4. tan2x + 1 = D.
5. 1 = E. cos x
Use identities to fill in the blanks.
6. If tan Ө = 2.6, then tan (-Ө) = ________ 7. If cos Ө = -.65, then cos (-Ө) = __________
8. If tan Ө = 1.6, then cot Ө = ________ 9. If cos Ө = 0.8 and sin Ө = 0.6, then tan (-Ө) = ___
10. Given [pic]for ( in Q IV, find the values of:
a. sin Ө b. tan Ө c. sec(-Ө)
You try! Given for ( in Q IV, find the values of
a. sec ( b. sin (
p.194 #12-18even, 32, 34, 44-48
5.1 Day 2 Fundamental Identities – Clean up!
Us: Re-write the expression in terms of the sine and cosine functions only and then simplify the expression so no quotients appear
[pic]
You: Re-write the expression in terms of the sine and cosine functions only and then simplify the expression so no quotients appear
[pic]
Us: Re-write the expression in terms of the sine and cosine functions only and then simplify the expression so no quotients appear
[pic]
You: Re-write the expression in terms of the sine and cosine functions only and then simplify the expression so no quotients appear
[pic]
p.195 #39-48 , 60-76even
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- strategic management lecture notes pdf
- financial management lecture notes pdf
- business management lecture notes pdf
- organic chemistry lecture notes pdf
- corporate finance lecture notes pdf
- philosophy of education lecture notes slideshare
- business administration lecture notes pdf
- advanced microeconomics lecture notes pdf
- microeconomics lecture notes pdf
- marketing lecture notes pdf
- lecture notes in microeconomic theory
- mathematical logic lecture notes pdf