• 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)

• 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)

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

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

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

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

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

\cot \theta = -1

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

\sec \theta = -2

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

Prove each identity.

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

Prove each identity.

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

Find w to the nearest tenth of a metre.

Find w to the nearest tenth of a metre.

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.

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 = 2.1 cm, b = 6.1 cm, and \angle A = 20^o.

To estimate the amount of usable lumber in a tree, Chitra must first estimate the height of the tree. From points A and B on the ground, she determined that the angles of elevation for a certain tree were 41° and 52°. respectively. The angle formed at the base of the tree between points A and B is 90^o. and A and B are 30 m apart. If the tree is perpendicular to the ground. what is its height to the nearest metre?