1. No category

6.4 Solving Trigonometric Equations Using Identities:
Warm-up:
Solve:
a.)
− 5 = −4
b.) 2 cos − 1 = 0, 0 ≤
c.) 2 sin
<2 − 3 sin − 2 = 0
To solve some trigonometric equations, we may need to use substitutions to solve: remember
that converting a sin2 x or cos2 x is easier than converting a sin x or cos x function.
Example: Solve on the range: 0 ≤
a.) cos 2 = sin
b.) sin 2 + sin
c.) sin
=0
= √3 cos
d.) (sin + cos ) = 2
e.) 5 sin − csc
f.) 3 cos
=0
− 3 sin
+2=0
< 2 . (2 decimal places)