Download worksheet sp. angles

MCR 3U – Worksheet
Trigonometry
1.(a) Use the trigonometric ratio cosθ = 0.4275 to determine the correct
values of to the nearest degree.
(2 marks)
(b) Determine the values of
to the nearest degree if sinθ = -0.7
2. Draw these angles in standard position
(a) 230o
(b) 820o
(c) -120 o
3. State two angles that are coterminal to 325 o.
4. The point P(- 4,7) is on the terminal arm of angle  .
(a) Draw a diagram that shows  in standard position.
(b) State cos , using exact values.
5. Find exact values for each of the following:
(a) sin 30o (b) tan 45o
(c) cos 225o
(d) (sin 60o)(tan 30o)(cos 135o)
6. A boat is approaching a cliff known to be 42 m tall. If the angle of
elevation from the boat is , how far away is the boat from the cliff? Give
the exact value, not an approximation.
7. Angle α is in the third quadrant and sin α = -3/5. Angle β is in the second
quadrant and tanβ = 5/-12. Find the EXACT VALUE of : (2, 4 marks)
a) cosβ
b) (tanα)(cosα) + (sinβ)2