Final Exam Review 1 - Scf
Final Exam Review 1 - Scf
Final Exam Review 1 - Scf
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Sum and Difference Formulas & Double Angles<br />
20. Find the exact value of each of the following under the given conditions:<br />
3<br />
π<br />
sin A = ,.... where....<br />
0 < A <<br />
5<br />
2<br />
2 5<br />
3π<br />
cos B = ,.... where....<br />
< B < 2π<br />
5<br />
2<br />
a) sin (Α + Β)<br />
b) cos (Α + Β)<br />
c) tan (Α + Β)<br />
d) sin 2Α<br />
e) cos 2Α<br />
Half Angle Formulas<br />
21. Find the exact value of<br />
22. If<br />
o<br />
cos 15 .<br />
1<br />
⎛ ⎞<br />
cos B = − with B in quadrant III, then what issin⎜ ⎟<br />
4<br />
⎝ 2 ⎠<br />
B ?<br />
Identities and Formulas Involving Inverse Functions<br />
In questions 23 – 24 evaluate each expression below without using a calculator. Assume any variables<br />
represent positive numbers.<br />
⎛ −1<br />
3 −1<br />
⎞<br />
23. sin⎜sin<br />
− tan 2⎟<br />
⎝ 5 ⎠<br />
24. tan(cos 2 )<br />
1 −<br />
x
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