Chapter Test for Trig Ratios
Chapter
Chapter 5
Section
Chapter Test for Trig Ratios
Solutions 14 Videos
• i)For the point, sketch the angle in standard position to determine all six trigonometric ratios.
• ii) Determine the value of the principal' angle and the related acute angle,

P(-3, 0)

Q1a
• i)For the point, sketch the angle in standard position to determine all six trigonometric ratios.
• ii) Determine the value of the principal' angle and the related acute angle,

S(-8, -6)

Q1b

Given angle \theta where 0^o \leq \theta \leq 360^o, determine all possible angles for \theta.

\sin \theta = -\frac{1}{2}

Q2a

Given angle \theta where 0^o \leq \theta \leq 360^o, determine all possible angles for \theta.

\cos \theta = \frac{\sqrt{3}}{2}

Q2b

Given angle \theta where 0^o \leq \theta \leq 360^o, determine all possible angles for \theta.

\cot \theta = -1

Q2c

Given angle \theta where 0^o \leq \theta \leq 360^o, determine all possible angles for \theta.

\sec \theta = -2

Q2d

Given \cos \theta = - \frac{5}{13}. where the terminal arm of angle \theta lies in quadrant 2, evaluate each trigonometric expression.

a) \displaystyle \sin \theta \cos \theta

b) \displaystyle \cot \theta \tan \theta

Q3

Prove each identity.

\displaystyle 1 + \tan^2 \theta = \sec^2\theta

Q4a

Prove each identity.

\displaystyle 1 +\cos^2\alpha = \csc^2 \alpha

Q4b

Find w to the nearest tenth of a metre.

Q6a

Find w to the nearest tenth of a metre.

Q6b

Given each set of information. determine how many triangles can be drawn. Calculate, then label, all side lengths to the nearest tenth and all interior angles to the nearest degree, where appropriate.

a = 1.5 cm, b =2.8 cm, and \angle A = 41^o.