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