The document outlines trigonometric identities and functions, including the eight fundamental trigonometric identities and their relationships, such as reciprocal and quotient relations. It provides rules for manipulating these identities, emphasizing the correct approach to transformations and the need for algebraic skills. The document also includes evaluations and assignments aimed at proving various trigonometric equations.

1. TRIGONOMETRIC
IDENTITIES

2. Trigonometric functions
Sine
Cosecant
Cosine Secant
Tangent Cotangent

3. Eight Fundamental
Trigonometric Identities

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

5. Reciprocal Relation

6. Quotient Relation

7. Pythagorean Relation

9. 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.

10. 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.)

11. 1.
2.

12. 3.
4.

13. 5.

14. Evaluation
Prove the following:
1. sec cot = csc 2. + = 1

15. Evaluation
Prove the following:
3. = 4. - 1 =

16. Evaluation
Prove the following:
5. sec + csc = csc (tan + 1)

17. Assignment
Prove the following:
1. sec /csc = tan
Ѳ Ѳ Ѳ
2. cos tan = sin
Ѳ Ѳ Ѳ
3. cot sin = cos
Ѳ Ѳ Ѳ