Algebra 2H Ch. 12 HW #2 Re-­‐write as a single function of a single angle. 1. €
2sin(3x) cos(3x) 2. cos π cos
Name: π
π
− sin π sin 5
5
3. cos 2 40°− sin 2 40° €
€
#
3π &
5. Expand and simplify: cos% x +
( $
2 '
4. Expand, do NOT simplify: tan(2α ) €
€
Find the exact value of each of the following, in simplest form: 6. 1− 2sin 2 (22.5°) €
9. €
7. 2tan15°
1− tan 2 15°
€
cos 255° π
π
π
π
sin − sin cos 4
2
4
2
€
10. €
8. cos
tan 70° − tan 40°
1+ tan 70°tan 40°
2
11. 2cos (15°) −1 €
12. If sec θ = −
€ € € € a. sin2θ €
b. cos 2θ c. tan2θ 13. If cos A =
€ € €
€
17
3π
and π ≤ θ ≤
, find, in simplest form, the exact value of: 15
2
5
1
, sin B = , where A is in quadrant IV and B is in quadrant II, find the exact value of: 13
2
a. cos( A − B) b. sin2B c. tan2A