A+ SOLUTIONS FOR THE FOLLOWING QUESTIONS

Trigonometry

Unit Summatives

Trigonometry Unit Assignment

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

Summative: Trigonometry Unit Assignment

1.Solve the following equations, to the nearest degree if needed, for 0 ? x ? 360. (14 marks)

a.sin2x =

b.cos2x = - cosx

c.6sin2x - 11sinx + 4 = 0

d.3cos2x - 2cosx - 1 = 0

2.Solve the following equations (exactly for special angles, to 2 decimal places otherwise) for 0 ? x ? 2?. (10 marks)

a.cos2x - = 0

b.sin2x = cos2x

c.2cos2x 7cosx + 3 = 0

3.Prove the following trigonometric identities. (14 marks)

a.sec x(1 + cos x) = 1 + sec x

b.

c.

d.sin4x cos4x = sin2x cos2x

e.tanx =

f.cos3x + cosx sin2x =