Trigonometry Answers

Angle θ is the principle angle in standard position with its terminal arm in the Quadrant III, such that O° ≤ θ ≤ 360°. Given that cos θ = -2/7

a) Sketch angle θ in standard position

b) Determine the exact values of the other two primary trig ratios in the simplest form

c) Determine the value of the principal angle to the nearest degree. Show your work.

1. Pont du Gard, an ancient Roman aqueduct bridge built in the first century AD in France, is approximately 49 m high. Alice  and Bob are standing 75 apart taking pictures of the bridge. From Alice, the angle of elevation to the top of the bridge is 37 degree;  from Bob, the angle of elevation to the top of the bridge is 29 degree.

Determine the angle, to the nearest degree, that is formed between Alice, the base of the bridge, and Bob. Label the diagram  with the given dimensions and show all your work to receive full marks.

If A=102 and B=54 calculate the values of cos(2A+B)

If tanx+tany=q , cotx+coty =p and x+y=c then prove that (p-q)tanc =pq

 Golfer hits his ball B a distance of 170m towards a Hole H which measures 195m from the Tee T to the green. If his shot is directed 10 degrees away from the true line to the hole, find the distance between his ball and the hole?

Show by expanding (cosa + isina) (cosB + isinB) and using trigonometry Identities that (cosa + isina)(cosB +isinB)= cos(a+B) + isin(a+B)

Evaluate: Lim x ²cos3x ÷ x³ + 4x²

x tend to 0

From A, B lies 24 km away on a bearing of 057 and C lies 15km away on a bearing of 347 Find a)The distance between B and C. b)The bearing of B from C.

Given sin a = 24/25, a in quadrant 2, and cos B = -4/5, in quadrant, find A) sin(a+B) and B) cos(a+B).

Peter is flying a kite using a 20 m long strip. His hand and the kite are 1 m and 15 m above the ground, respectively. Find the angle of depression of Peter from the kite.