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Lesson: Integration of Trigonometric Functions

Worksheet • 10 Questions

Q1:

Evaluate ο„Έ π‘₯ πœƒ πœ‹ πœ‹ 6 s i n d .

  • A √ 3 2 + 1
  • B √ 3 2 + 2
  • C 3 2
  • D βˆ’ 1 βˆ’ √ 3 2
  • E βˆ’ 3 2

Q2:

Evaluate ο„Έ βˆ’ 4 π‘₯ πœƒ πœ‹ πœ‹ 6 s i n d .

  • A βˆ’ 4 βˆ’ 2 √ 3
  • B βˆ’ 2 √ 3 βˆ’ 3
  • C βˆ’ 6
  • D 2 √ 3 + 4
  • E6

Q3:

Determine ο„Έ 5 ( πœ‹ 𝑧 ) 𝑧 βˆ’ 6 βˆ’ 9 s i n d .

  • A βˆ’ 1 0 πœ‹
  • B 1 0 πœ‹
  • C βˆ’ 2 πœ‹
  • D βˆ’ 1 0

Q4:

Determine ο„Έ 6 ο€» πœ‹ 𝑧 4  𝑧 βˆ’ 5 βˆ’ 7 s i n d .

  • A 2 4 √ 2 πœ‹
  • B βˆ’ 2 4 √ 2 πœ‹
  • C 4 √ 2 πœ‹
  • D 2 4 √ 2

Q5:

Determine ο„Έ 4 ( πœ‹ 𝑧 ) 𝑧 9 4 s i n d .

  • A 8 πœ‹
  • B βˆ’ 8 πœ‹
  • C 2 πœ‹
  • D8

Q6:

Determine ο„Έ 5 ο€» πœ‹ 𝑧 4  𝑧 4 βˆ’ 9 c o s d .

  • A 1 0 √ 2 πœ‹
  • B βˆ’ 1 0 √ 2 πœ‹
  • C 2 √ 2 πœ‹
  • D 1 0 √ 2

Q7:

Evaluate ο„Έ βˆ’ 3 πœƒ πœƒ πœ‹ 4 πœ‹ 6 c s c d 2 .

  • A βˆ’ 3 √ 3 + 3
  • B βˆ’ √ 3
  • C βˆ’ 3 √ 3 2 + 3 √ 2 2
  • D βˆ’ 3 + 3 √ 3
  • E βˆ’ 3 √ 2 2 + 3 √ 3 2

Q8:

Evaluate ο„Έ 5 πœƒ πœƒ πœ‹ 2 πœ‹ 3 c s c d 2 .

  • A 5 √ 3 3
  • B βˆ’ 5 √ 3 3 + 5
  • C 5 2
  • D βˆ’ 5 √ 3 3
  • E βˆ’ 5 2

Q9:

Determine ο„Έ ( 3 + πœ‹ 7 π‘₯ ) π‘₯ πœ‹ 4 πœ‹ 2 βˆ’ c o s d .

  • A βˆ’ √ 2 πœ‹ 1 4 + 5 9 πœ‹ 2 8
  • B βˆ’ 5 πœ‹ 4 + √ 2 πœ‹ 2
  • C βˆ’ 1 7 πœ‹ 2 8 βˆ’ √ 2 πœ‹ 1 4
  • D βˆ’ √ 2 πœ‹ 2 + 5 πœ‹ 4
  • E βˆ’ 5 9 πœ‹ 2 8 + √ 2 πœ‹ 1 4

Q10:

Determine ο„Έ ( 4 + πœ‹ 9 π‘₯ ) π‘₯ βˆ’ βˆ’ πœ‹ 6 πœ‹ 4 c o s d .

  • A √ 2 πœ‹ 1 8 + 4 πœ‹ 9
  • B βˆ’ 4 πœ‹ 3 βˆ’ √ 2 πœ‹ 2
  • C βˆ’ 1 4 πœ‹ 9 βˆ’ √ 2 πœ‹ 1 8
  • D √ 2 πœ‹ 2 + 4 πœ‹ 3
  • E βˆ’ 4 πœ‹ 9 βˆ’ √ 2 πœ‹ 1 8
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