### Convert each to radian measure

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#### Description

A+ SOLUTIONS FOR THE FOLLOWING QUESTIONS

**Trigonometry**

Mid Unit Assignment

Trigonometry Mid Unit Assignment

The following questions are to be answered with full solutions. Be sure to focus on proper mathematical form, including:

Assessment OF Learning: Trigonometry Mid Unit Assignment

1.Convert each to radian measure: (4 marks)

a.135

b.25

c.115

d.225

2.Convert each to degree measure: (4 marks)

a.

b.

c.

d.

3.Why do we write radian measures with a ? rather than just give the decimal equivalent? (for example, why not use 1.88 rad instead of 3?/5 rad?) (2 marks)

4.Write the basic trigonometric ratios for angle B in each triangle given. Give the final answers to 3 decimal places. Then find the size of angle B accurate to the nearest 0.1. (8 marks) Note: diagrams are not necessarily to scale

a.

b.

5.Use the CAST rule to find exact values for the sine, cosine and tangent of the following angles: (6 marks)

a.315

b.240

6.For the angle shown a point is given on its terminal arm. Calculate the values of the three primary trigonometric ratios, accurate to 4 decimal places if necessary. (2 marks)

7.For the angle shown a point is given on its terminal arm. Calculate the values of the three reciprocal trigonometric ratios, accurate to 4 decimal places if necessary. (2 marks)

8.Complete the following:

a.? is a first quadrant angle in standard position and

cos ? = . Find the exact value of sin ?. (2 marks)

b.? is a second quadrant angle in standard position and

tan ? = . Find the exact value of cos ?. (2 marks)

9.? is an angle in standard position with domain 0

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