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Worksheet: Definition of Inverse Trigonometric Functions

Q1:

The given tables show some values of , , and . Which function corresponds to the function ?

0
0
0 1
0
0
0
  • A
  • B
  • C

Q2:

The given tables show some values of , , and . Which function corresponds to the function ?

0
0 1
0
0 1
0
  • A
  • B
  • C

Q3:

The given tables show some values of , , and . Which function corresponds to the function ?

0 1
0
0 1
0
0
0
  • A
  • B
  • C

Q4:

Which of these two value tables shows a domain of the sine function that can be used to construct its inverse function?

Table A

0
0 1 0

Table B

0
0 1
  • A Table B
  • B Table A

Q5:

Which of these two value tables shows a domain of the cosine function that can be used to construct its inverse function?

Table A

0
1 0

Table B

0
0 1 0
  • A Table A
  • B Table B

Q6:

For the given figure, find angle , in degrees, to two decimal places.

Q7:

For the given figure, find the measure of angle , in degrees, to two decimal places.

Q8:

Find the exact value of in radians.

  • A
  • B
  • C
  • D
  • E

Q9:

Find the exact value of in radians.

Q10:

Find the exact value of in radians.

  • A
  • B0
  • C
  • D
  • E

Q11:

Find the exact value of in radians.

Q12:

Find the exact value of , in radians in terms of , which is located in the 1st quadrant.

  • A
  • B1
  • C0
  • D
  • E

Q13:

Find the exact value of .

  • A
  • B
  • C
  • D
  • E

Q14:

Find the exact value of in radians.

  • A
  • B
  • C
  • D
  • E

Q15:

Find the exact value of in radians.

  • A
  • B
  • C
  • D
  • E

Q16:

Find the exact value of in radians.

  • A
  • B
  • C
  • D

Q17:

Find the exact value of .

  • A
  • B
  • C
  • D
  • E

Q18:

Find the exact value of in radians.

  • A
  • B
  • C
  • D
  • E