Find trigonometric values

1
EXAMPLE 1
Find trigonometric values
2
EXAMPLE 1
Find trigonometric values
SOLUTION
STEP 1
Find cos q .
Write Pythagorean Identity.
Simplify.
Take square roots of each side.
Because q is in Quadrant II, cos q is negative.
3
EXAMPLE 1
Find trigonometric values
STEP 2
Find the values of the other four trigonometric
functions of q using the known values of sin q
and cos q.
4
EXAMPLE 1
Find trigonometric values
5
EXAMPLE 2
Simplify a trigonometric expression
Cofunction Identity
Cotangent Identity
cos q
Simplify.
6
EXAMPLE 3
Simplify a trigonometric expression
Reciprocal Identity
Pythagorean Identity
Distributive property
Simplify.
7
for Examples 1, 2, and 3
GUIDED PRACTICE
Find the values of the other five trigonometric
functions of q.
SOLUTION
8
for Examples 1, 2, and 3
GUIDED PRACTICE
Find the values of the other five trigonometric
functions of q.
SOLUTION

csc q
cot q

tan q

sec q

9
for Examples 1, 2, and 3
GUIDED PRACTICE
Simplify the expression.
3. sin x cot x sec x