PreCalc D - Trigonometry Worksheet



Summer Assignment 5

Determine two coterminal angles (one positive and one negative) for each given angle. Express your answers in degrees.

| 1) 36° |2) -120° |3) 300° |4) -420° |

Express the following angles in radian measure as multiples of [pic].

| 5) 30° |6) 150° |7) 315° |8) 120° |

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| 9) -20° |10) -240° |11) -270° |12) 144° |

Express the following angles in degree measure:

| 13) [pic] |14) [pic] |15) [pic] |16) -2.367 |

| 17) [pic] |18) [pic] |19) [pic] |20) 0.438 |

Determine all six trigonometric functions for the angle [pic] formed by passing thru the given point.

| 21) P(3, 4) |22) P(-12, -5) |23) P(8, -15) |24) P(1, -1) |

Determine the quadrant in which [pic] lies.

| 25) sin [pic] < 0 and cos [pic] < 0 |26) sec[pic] > 0 and cot[pic] < 0 |

| 27) sin[pic] > 0 and cos[pic] < 0 |28) csc[pic] < 0 and tan[pic] > 0 |

Evaluate the following trigonometric functions:

| 29) If sin[pic] = 1/2, |30) If sin[pic] = 1/3, |31) If cos[pic] = 4/5, |

|then cos[pic] = ? |then tan[pic] = ? |then cot[pic] = ? |

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| 32) If sec[pic] = 13/5, |33) If cot[pic] = 15/8, |34) tan[pic] = 1/2, |

|then csc[pic] = ? |then sec[pic] = ? |sin[pic] = ? |

Solve for the missing variables as indicated:

| 35) |36) |37) |38) |

|[pic] |[pic] |[pic] |[pic] |

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Find two solutions of each equation. Express the results in radians (0 ≤ [pic] ≤ 2π). Do not use a calculator.

| 39) cos[pic] = [pic] |40) cos[pic] = [pic] |41) sec[pic] = 2 |42) sec[pic] = -2 |

Solve using your calculator.

| 43) 2 sin x = x - 3 |44) 3 cos x = 4x - 1 |

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