Trigonometry Answers

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.

Cos³θ +sin³θ =1/4(cos³θ +3cosθ - sin³θ + 3sinθ)

cos³θ + sin³θ = (1/4)(cos³θ +3cosθ - sin³θ + 3sinθ)

Show that cos³θ +sin³θ =1/4(cos³θ + 3cosθ - sin³θ + 3sinθ)

a) Find a positive angle less than 2𝜋 that is coterminal with 16𝜋 3 radians.

b) Find the reference angle for 16𝜋 3 radians.

If cos(𝜃 ) = 1/3 and tan( 𝜃 ) < 0 , find the exact value of each of the remaining trigonometric functions of 𝜃

The Bungling Brothers Circus is in town and you are part of the crew that is setting up its enormous tent. The center pole that holds up the tent is 70

 feet tall. To keep it upright, a support cable needs to be attached to the top of the pole so that the cable forms a 60∘

 angle with the ground.

1. How long is the cable?
2. How far from the pole should the cable be attached to the ground?