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Transcript 7.6

7-6 Solving Trigonometric
Equations
Finding what x equals
Solve for x:
1. 2sin x 1
2
It is just like solving regular equations, but
once you get solutions, you have to find
corresponding angle measure.
Find solutions all solutions on one
pass around the unit circle.
2. cos 2x sin 2 x 1
3. tan x sec x 0
4. cos2x cos x
5. 2 sin 3θ 1 0
6. 2 tan x cos2 x 1
What are the rules?
1.
“x” means give the answer in radians; “Θ”
means give the answer in degrees.
2. “Solve for 0 ≤ x ≤ 2π” means give all the
answers on one pass around the unit circle.
3. “General solution” means give one formula to
represent every solution.
4. Guess what: Work on both sides of the
equation using all the rules of algebra.
That is a) Isolate the function or b) factor
Is that it?
Well, yes, except for one footnote. Never
Never Never Never divide both sides by
the same trig function to get rid of it.
For example,
sin x sin x
2
Why? Gold star to the person who can tell
me.