PreCalc 5.1 day 2.notebook
February 25, 2013
Simplify each: Remember that cos 2x = (cosx) 2
1. Rewrite everything in terms of sine and cosine
2. Get down to 1 number, 1 fraction, 1 word, or 2 words with a +/­ between
3. sinxcos 2x­sinx
4. cos2xcscx­cscx
5. sint + cottcost
+
6. sinθ cosθ 1+cosθ sinθ
7. 1 1 +
1+sinx 1­sinx 1
PreCalc 5.1 day 2.notebook
February 25, 2013
Simplify each: Remember that cos 2x = (cosx) 2
1. Rewrite everything in terms of sine and cosine
2. Get down to 1 fraction, 1 word, or 2 words with a +/­ between
3. sinxcos 2x­sinx
4. cos2 xcscx­cscx
5. sint + cottcost
sinθ cosθ 6. 1+cosθ + sinθ
7. 1 1 +
1+sinx 1­sinx 2
PreCalc 5.1 day 2.notebook
FACTOR EACH:
8. 1­cos2x
February 25, 2013
9. 2csc 2x­7cscx+6
10. sec2θ­1
11. 4tan2θ+tanθ­3
12. csc 2x­cotx­3
13. Factor and Simplify
2
2
2
cot x­cos xcot x
3
PreCalc 5.1 day 2.notebook
8. 1­cos2x
February 25, 2013
9. 2csc 2x­7cscx+6
10. sec2θ­1
11. 4tan2θ+tanθ­3
12. csc 2x­cotx­3
13. Factor and Simplify
2
2
2
cot x­cos xcot x
4
PreCalc 5.1 day 2.notebook
February 25, 2013
5.1 Note: sin2x = (sinx) 2 and sinx 2 = sin(x2)
Do highlighted problems on first day
13. secxcosx
14. cot2x­csc 2x
15. sin(­x)
cos(­x)
16. sin xsec x
2
2
17. cotx
cscx
18. sec2x­1
sin2x
5
PreCalc 5.1 day 2.notebook
February 25, 2013
5.1 Note: sin2x = (sinx)2 and sinx 2 = sin(x2)
13. secxcosx
14. cot2x­csc 2x
15. sin(­x)
cos(­x)
16. sin xsec x
2
2
17. cotx
cscx
18. sec2x­1
sin2x
6
PreCalc 5.1 day 2.notebook
19. cotθsecθ
21. sinφ(cscφ-sinφ)
February 25, 2013
20. secα . sinα
tanα
π
22. cos( )secx
­x
2
23. cost(1+tan2t)
Homework for today
Homework for tomorrow
For 27­43: All answers are one­word or one­number
answers, except for 2 prb's (39,43)
7