In: Math
Question 1. Solve the following 1. If tan θ = 4 where 0 ≤ θ ≤ π 2 , find sin θ, cos θ,sec θ, csc θ, cot θ.
2. If α = 3π 4 , find exact values for sec α, csc α,tan α, cot α.
Question 2. For each of the following angles, find the reference angle and which quadrant the angle lies in. Then compute sine and cosine of the angle. a. 225◦ b. 300◦ c. 135◦ d. 210◦
Question 3. The point P is on the unit circle. If the x-coordinate of P is 1/5, and P is in quadrant IV, find the y-coordinate.
Question 4. The angle of elevation to the top of a building in New York is found to be 9 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building.
Question 5. A radio tower is located 400 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 36◦ and that the angle of depression to the bottom of the tower is 23◦ . How tall is the tower?