June 10, 2014
Algebra 2 Warm Up # 11-2
1. Graph y = 3 - 2sin (4x- )
sin x
2. Prove that tanx = ____
cos x
3. Prove that sin2 x + cos2 x = 1
June 10, 2014
Questions p. 844?
June 10, 2014
June 10, 2014
June 10, 2014
1. Solve the equation 2sin x - 1 =0 in the interval
then give the general solution.
, and
(0,1)
135o
120o 90o
60o
45o
30o
150o
(-1,0)
0
180o
0o or 360o
330o
210o
225o
-
240o
270o
300o
(0,-1)
315o
(1,0)
June 10, 2014
2. Solve 4cosx + 1 = -1 in interval
solution
and give general
(0,1)
135o
(-1,0)
120o 90o
60o
45o
30o
150o
0
180o
0o or 360o
330o
210o
225o
-
240o
270o
300o
(0,-1)
315o
(1,0)
June 10, 2014
3. Solve 9 sin2x + 2 = 3 in the interval
the general solution.
and give
June 10, 2014
4. Solve sinx tan2x = sinx in the interval
and
give the general solution.
(0,1)
135o
120o 90o
60o
45o
30o
150o
(-1,0)
0
180o
0o or 360o
330o
210o
225o
-
240o
270o
300o
(0,-1)
315o
(1,0)
June 10, 2014
5. Solve
_
√3 tan x - 1 = 0
(0,1)
135o
120o 90o
60o
45o
30o
150o
(-1,0)
0
180o
0o or 360o
330o
210o
225o
-
240o
270o
300o
(0,-1)
315o
(1,0)
June 10, 2014
6. 3 cscx + 5 = 0
June 10, 2014
Summary of solving trig equations
Try factoring if quadratic
Use quadratic formula if quadratic but it won't factor
Don't divide off stuff that has variables in it. Instead,
factor
Use your yellow sheets if you are going to get an exact
answer.
Otherwise you will need your calculator. But remember!
Your calculator only gives you one answer. Draw a picture to
see what the other answers are
June 10, 2014
7. Solve 3 tan x + 1 = 13
June 10, 2014
8. 4 tan 2 x - tan x - 5 = 3 tan2 x
June 10, 2014
# 11-2 Worksheet on solving trig equations.