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