In this worksheet, we will practice calculating exact values of trigonometric inverses and recognizing the inverse of trigonometric functions from tables.

**Q2: **

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

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0 |

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0 |

0 | |||||

0 |

- A
- B
- C

**Q4: **

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

- A
- B1
- C0
- D
- E

**Q5: **

Find the exact value of in radians.

**Q6: **

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

Table A

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0 | 1 | 0 |

Table B

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0 | 1 |

- A Table B
- B Table A

**Q7: **

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

Table A

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1 | 0 |

Table B

0 | |||||||||

0 | 1 | 0 |

- A Table A
- B Table B

**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
- E

**Q10: **

Find the exact value of in radians.

- A
- B
- C
- D

**Q11: **

Find the exact value of .

- A
- B
- C
- D
- E

**Q12: **

Which of the following is closest to ?

- A
- B
- C
- D
- E

**Q13: **

Find the exact value of in radians.

- A
- B
- C
- D

**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 values of and giving the answer to the nearest second.

- A ,
- B ,
- C ,
- D ,

**Q17: **

Find the exact value of in radians.

- A
- B
- C
- D
- E

**Q18: **

is a triangle where and . Find the value of giving the answer to the nearest minute.

- A
- B
- C
- D

**Q19: **

is a parallelogram with an area of 546 cm^{2}. 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

**Q20: **

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.

**Q23: **

Find the exact value of in radians.

- A
- B
- C
- D
- E

**Q24: **

Find the exact value of in radians.

- A
- B
- C
- D
- E

**Q25: **

Find the exact value of in radians.

- A
- B
- C
- D
- E