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Question Set #1: Simplify Each Statement to a Single Expression

1) sin cot secx x x 2) 2

2

1 sin

csc 1

x

x

Question Set #7 Answers

1) Graph one period of: 1

3sec 23 4

y x

2) Graph one period of: 3cot 2y x

3) Evaluate each statement

a) 1 3cos

2

b) 1tan 1

Question Set #2: Complete the Following Proofs

1) tan 1

sin cossec

xx x

x 2) csc cos cot sinx x x x

Question Set #1 Answers

1) sin cot secx x x 2) 2

2

1 sin

csc 1

x

x

Question Set #3: Complete the Following Proofs

1) tan 1 cos

sec 1 sin

x x

x x

2)

22

2

csc1 tan

cotx

xx

Questions Set #2 Answers

1) tan 1

sin cossec

xx x

x 2) csc cos cot sinx x x x

Questions Set #4: Complete Each Proof

1) sec csc

sin costan cot

x xx x

x x

2) 2

2 2 2

1 tan 11 tan cos sin

uu u u

Question Set #3 Answers

1) tan 1 cos

sec 1 sin

x x

x x

2)

22

2

csc1 tan

cotx

xx

Question Set #5: Solve each equation over the indicated interval 1) 22sin sin 1 0, 2 x x 2) 23cot cos cos 0, 2x x x

Question Set #4 Answers

1) sec csc

sin costan cot

x xx x

x x

2) 2

2 2 2

1 tan 11 tan cos sin

uu u u

Question Set #6: Solve each equation for all real solutions of x

1) 2sin 2sin 0x x 2) 22cos 1x

Question Set #5 Answers 1) 22sin sin 1 0, 2 x x 2) 23cot cos cos 0, 2x x x

Question Set #7: Review Questions!

4) Graph one period of: 1

3sec 23 4

y x

5) Graph one period of: 3cot 2y x

6) Evaluate each statement

b) 1 3cos

2

b) 1tan 1

Question Set #6 Answers

1) 2sin 2sin 0x x 2) 22cos 1x