# 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