Using Fundamental Identities (Section 5-1)

RECALL… Reciprocal Identities Quotient Identities

Pythagorean Identities

Use the given values to evaluate (if possible) all six trigonometric functions. Example 1 C S A T

Use the given values to evaluate (if possible) all six trigonometric functions. Example 2 C S A T

Use the given values to evaluate (if possible) all six trigonometric functions. Example 3 C S A T

Use the given values to evaluate (if possible) all six trigonometric functions. Example 4 C S A T

Cofunction Identities Even/Odd Identities

Use the given values to evaluate (if possible) all six trig functions. Example 5

Use the given values to evaluate (if possible) all six trig functions. Example 6

Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 7

Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 8

Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 9

Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 10

Match the trig expression with one of the following: -1, 1, sin x, csc x, csc2 x Example 11

Use the fundamental identities to simplify the expression. Example 12

Verify the identity algebraically. Example 13

Factor the expression and use the fundamental identities to simplify. Example 14

Factor the expression and use the fundamental identities to simplify. Example 15

Factor the expression and use the fundamental identities to simplify. Example 16

Perform the indicated operation and use the fundamental identities to simplify. Example 17

Perform the indicated operation and use the fundamental identities to simplify. Example 28

Rewrite the expression so that it is NOT in fractional form. Example 19

Use the trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 0< θ < π/2. Example 20

Use the trigonometric substitution to write the algebraic expression as a trigonometric function of θ, where 0< θ < π/2. Example 21

Rewrite the expression as a single logarithm and simplify the result. Example 22

HW #39 pg 357 – 358 (27-59 odd)

HW #40 pg 358-359 (61-71 odd, 81-99 odd, 111)