5-3 Solving Trigonometric Equations Worksheet With Answers Page 24
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28+
2
2
θ + sin
θ Reciprocal Identities
= cos
5-3 Solving Trigonometric Equations
= 1 Pythagorean Identity
Verify each identity.
Find the value of each expression using the
given information.
64.
=
67.
tan
; sin θ =
, tan
> 0
SOLUTION:
SOLUTION:
Use the Pythagorean Identity that involves sin θ.
Since tan
is positive and sin is positive, cos θ
must be positive. So,
.
65.
=
SOLUTION:
66.
= 1
+
SOLUTION:
+
2
2
68.
csc
, cos =
, csc
< 0
θ + sin
θ Reciprocal Identities
= cos
= 1 Pythagorean Identity
SOLUTION:
Find the value of each expression using the
Use the Pythagorean Identity that involves cos θ.
given information.
67.
tan
; sin θ =
, tan
> 0
SOLUTION:
Use the Pythagorean Identity that involves sin θ.
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