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Worksheet: Inverse Trigonometric Functions
Q1:
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
Q2:
Find the exact value of , in radians in terms of , which is located in the 1st quadrant.
- A
- B1
- C0
- D
- E
Q3:
Find the exact value of in radians.
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
Q7:
Find the exact value of in radians.
- A
- B
- C
- D
- E
Q8:
Find the exact value of in radians.
- A
- B
- C
- D
- E
Q9:
Find the exact value of in radians.
- A
- B
- C
- D
Q10:
Find the exact value of .
- A
- B
- C
- D
- E
Q11:
Which of the following is closest to ?
- A
- B
- C
- D
- E
Q12:
Find the exact value of in radians.
- A
- B
- C
- D
Q13:
Find the exact value of in radians.
- A
- B
- C
- D
- E
Q14:
Find the exact value of in radians.
- A
- B
- C
- D
- E
Q15:
Find the values of and giving the answer to the nearest second.
- A ,
- B ,
- C ,
- D ,
Q16:
Find the exact value of in radians.
- A
- B
- C
- D
- E
Q17:
is a triangle where and . Find the value of giving the answer to the nearest minute.
- A
- B
- C
- D
Q18:
is a parallelogram with an area of 546 cm2. The point is on where , the ratio between and is and . Find the measure of giving the answer to the nearest second.
- A
- B
- C
- D
Q19:
A man stands 5.4 m from a vertical wall. A footlight on the ground, 2.7 m from where he is standing, is switched on. If the man is 1.8 m tall and his shadow is 5.5 m tall, what angle does the light make with the horizontal? Give your answer to two decimal places.
Q20:
is an isosceles triangle where and . The point lies on where and . Find the length of giving the answer to the nearest centimeter and the value of giving the answer to the nearest second.
- A ,
- B ,
- C ,
- D ,