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Trigonometric Identities
Reciprocal Identities Pythagorean Identities Quotient Identities
csc u 1
sin u
sin 2 u cos 2 u 1
sec u 1
cos u
cot u 1
tan u
tan 2 u 1 sec 2 u
1 cot 2 u csc 2 u
Reflection Identities
tan u sin u
cos u
cot u cos u
sin u
Cofunction Identities
sin 1u2 sin u
cos
cos 1u2 cos u
a p 2 x b sin x
sin a p 2 x b cos x
Exercise
1. Evaluate each of the following:
3 2
32 2 5
27 2 3
a. b. c. d.
a 2 3 b 2
2. Express each of the following in the equivalent logarithmic form:
a. 5 4 625
c. x 3 3
e. 3 8 z
b. 4 2 1 d. 10 w 450 f.
16
a b T
3. Sketch the graph of each function, and state its x-intercept.
a. y log b. y 5 x3
10 1x 22
4. Refer to the following figure. State the value of each trigonometric ratio
below.
y
P(x, y)
r
u x
a. sin u
b. cos u
c. tan u
224
REVIEW OF PREREQUISITE SKILLS
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