PRE CAL

1. Trigonometric functions
Sine Cosecant
Cosine Secant
Tangent Cotangent

2. Eight Fundamental
Trigonometric Identities

3. Trigonometric Identity
- an equation that involves
trigonometric functions which is
true to any solution.

4. Reciprocal Relation
sinѲ = 1/cscѲ
cosѲ = 1/secѲ
tanѲ = 1/cotѲ

5. Quotient Relation
tanѲ = sinѲ/cosѲ
cotѲ = cosѲ/sinѲ

6. Pythagorean Relation
sin2
+ cos
Ѳ 2
= 1
Ѳ
1 + cot2
= csc
Ѳ 2
Ѳ
tan2
+ 1 = sec
Ѳ 2
Ѳ

8. CONDITIONS:
1. Transposition is not allowed.
2. Transform expressions independently.
3. Do not divide or multiply a common
term to both sides of the equation.
4. Transform the complicated side.

9. useful rules:
1. Memorize the 8 trigonometric identities.
2. Express all functions in terms of sine and
cosine.
3. Be familiar with algebra, manipulations
(factoring, special products, combining like
terms, simplifying complex fraction.)

10. Simplifying Trigonometric Expressions
using Trigonometric Identities:

11. 1.

12. 2.

13. 3.

14. 4.

15. 5.