precalculus honors name 10.4 solving trig equations day 2 date · 2016. 12. 9. · 10.4 solving...
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Precalculus Honors Name_________________________
10.4 Solving Trig Equations Day 2 Date__________________________
Classwork:
Solve the following equations for where 0 2 . If possible, keep all answers exact. If not
possible, give answer correct to the third decimal place.
1. tan 2 1 tan 5 0 2. 2 2cos 2 5sin cosx x x
3. cos 2 2 cos 4. cos 2 sin 2
Solve the following equations for where 0 360 .
5. sin 2 cos 6. sin 2 cos cos 2 sin 1 0
Precalculus Honors Name_________________________
10.4 Solving Trig Equations Day 2 Date__________________________
Homework:
For #1-4, classify each of the following as always, sometimes, or never true.
1. sin 2 2sinx x
2. cos sin2
3. If tan 3 and tan 2 , then tan 5
4. When you use the half angle formulas, you choose whether to use + or – by noting in which
quadrant the angle lies.
5. Use a sum formula to find sin75˚ in simplest radical form.
6. Use a sum or difference formula to find tan345˚ in simplest radical form.
Simplify numbers 7-11.
7. sin cos cos sinx x y x x y
8. cos cos3 3
x x
Precalculus Honors Name_________________________
10.4 Solving Trig Equations Day 2 Date__________________________
9. 2 2cos sin2 2
x x
10. 22cos 3 1A
11. sin 2
1 cos 2
x
x
12. Evaluate 3
tan4
x
if
1tan
2x .
13. If 02
and
1sin
3 , find the exact value of the following:
a. sin 2 b. cos 2 c. cos 4
Precalculus Honors Name_________________________
10.4 Solving Trig Equations Day 2 Date__________________________
14. If 3
tan5
, find the exact value of tan 2 and tan 3 .
15. sin 2 cos cos 2 sin 0.53 3
x x
a) Determine the general solutions for x in terms of .
b) Determine the particular values when 0,2x
16. Solve for 0 360 : 2 1
sin 2 cos 22