Trigonometry Answers

The angle of elevation from ground to the top of building and to the top of chimney which is at the top of building are x0 and 450 respectively. The height of building is h. What is height of chimney in meters?

cos(π/3 + A) = sin(π/6 - A)

Express 3 sin 4t + 8 cos 4t in the form R sin ( ωt + α ), α    

sin𝜃+cos𝜃= 1−2cos²𝜃/sin 𝜃−cos 𝜃

The value of the voltage in an ac circuit at any time t seconds is given by V1 = 70 sin (50 t). Going through a component results in the wave lagging by 0.32 radians, the result being V2 = 70 sin (50π t – 0.32).

a) For t = 0 to t = 80ms, use increments of 5ms plot the following 3 graphs on the same pair of axes.

V1 = 70 sin (50 t).

V2 = 70 sin (50π t – 0.32).

V3 = V1 + V2

b) For V2 = 70 sin (50π t – 0.32) state the voltage at t = 0, 20 and 50ms.

c)Verify the answers to (b) using sin (A – B) = sin A cos B – cos A sin B.

d)Use the sine and cosine rules to find the equation for V3.

Faraz installed a satellite dish on the roof his house. If Faraz (whose eye height is 1.7m) is standing 20 feet from the house and the angle between his line of sight and the top of the dish is 460 how high is the dish from the ground?

This February, a non-profit organization will be having a bike exhibition competition in an open field that is 50 meters long. They specified that the

maximum height of a single ramp is 2 meters above the ground and the minimum height is 0.5 meters below the ground. They are looking for someone

who could design the entire ramp for the exhibition.

Prove that 1-cos2A/sin2A is tanA

From the top of a cliff, Tony Stark can see a boat on the ocean. The angle of depression is 41°. If Tony Stark uses his laser range finder and determines that the boat is 1.4 kilometers away, how high is the cliff?

y= -3 cos 2 (x+π/5)