2007
Trigonometric Identities/Proof
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To receive full credit on any assignment, you must write out the original problem and show all work!!
All problems should be completed without the calculator!
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#1
Pythagorean Identities and Simplifying Expressions
Page 540-542
#1-11, 13-15, 17, 19, 22, 85
#2
Cofunctions and Begin Proofs
Page 540-542
#16, 23, 29, 33, 35, 37, 39, 43, 87 (state reasons for verifications/proofs!)
AND
A.
Simplify the following:
1
cos(90! ! " )
B. cos(! )cot(90! " ! )
C. sin A tan A + sin(90! ! A)
#3
Negative Identities
Page 540-542
D.
sin ! cot ! + cos!
2 tan(90! " ! )
#12, 21, 30, 31, 32
AND Simplify the following:
E. cos(!" ) tan(!" ) ! sin(!" )
F. sec(90! ! " )cos(!" )cot " + sec 2 " ! tan 2 "
#4
Even, odd or neither using function notation/Practice Proofs
Worksheet
#5
Sum and Difference Formulas
pg. 548-549
#3, 8, 9, 11, 13, 15, 17, 21, 27, 33, 43a
AND Prove:
sin x
! cot x = csc x (remember to include your reasons!)
1 ! cos x
Study for Quiz!
#6
Double Angle Formulas
Page 557-560
#1, 3, 5, 7, 23, 24, 55, 59
AND Prove: cos(3x) = 4 cos 3 ( x ) ! 3cos ( x )
#7
Quiz and Rubric Question
Worksheet
#8
Practice/Review
Worksheet
#9
Review
Work on Review Sheet; Study for Test
#10
Test - Wed, March 14
#11
Right Triangle Trig
Worksheet
Answers:
Pages 540-542 #2: tan ( t )
#4: sin ( x )
#6: tan ( x )
#8: 1
#10: cos ( x )
#12: sin ( x )
#14: sin ( x )
#16: 1
#22: 1 ! sin ( x )
(
)
Pages 548-549 #8: -1
( )
Pages 557-560 #24: a. tan 14
A:
B:
csc (! )
sin (! )
C:
sec ( A )
D:
E:
F:
0
sin (! )
csc 2 (! )
!
b. tan (14! )