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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.
- How long is the cable?
- How far from the pole should the cable be attached to the ground?
1. An alternating current is given by the formula
I = 30 sin (50 t + 0.26) amps
a) Find the amplitude, periodic time, frequency, and phase angle
b) Find the value of the current at 18ms
c) Find the time at which the current first reaches 20 amps
d) Plot the curve between 0 and 20ms
Show complete solution
1.f(x)=2 sin (x-π/4)
2.f(x)=sin (x+π/3)
3.f(x)=3 cos (x+π/6)
4.f(x)=2 cos (x-2π)
5.f(x)=tan x
4 sin 2x sin 6x
A surveyor measured the angle of elevation of a flat spire as from a point on horizontal ground. He moves 30m nearer to the flat and measures the angle of elevation as . Calculate the height of the spire to the nearest hundredth.
