Basic Trigonometric Identities
1.
2.
3.
4.
Pythagorean Identities
1.
2.
3.
Ex 1 Find if
and
is in
Quadrant II.
Sol , so
since
if
is in Quadrant II. Then
Ex 2 Find if
and
is in Quadrant III.
Sol Since ,
and
and
therefore
since
for
in Quadrant III.
Pr A Find if
and
.
Pr B Find if
and
.
Pr C Find if
and
.
Pr 1 Find if
and
.
Pr 2 Find if
and
.
Pr 3 Find if
and
.
Pr 4 Simplify the expression .
Pr 5 Simplify the expression .
Pr 6 Simplify the expression .
Pr 7 Simplify the expression for
with
.
Pr 8 Simplify the expression for
with
.
Pr 9 Use trig identities to change to
.
Pr 10 Use trig identities to change to
.
Pr 11 Use trig identities to change to
.
Pr 12 Use trig identities to change to
.
Pr 13 Use trig identities to change to
.
Pr 14 Use trig identities to change to
.
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