Math Xb Spring 2004 NameLab 4: Sine, Cosine, and Tangent Section InstructorMarch 4, 2004 Collaborator s1. The line y = 2x − 6 intersects the x-axis and forms an angle measuring θ radians, as shown below.Find each of the following trigonometric function values without finding θ directly.(a) tan θ(b) sin θ(c) cos θ2. When an ang le measuring α radians is placed in standard position (so that its vertex is at the o riginand its initial side lies along the horizontal axis), its terminal side passes through the point (2, 3). Findeach of the following trigonometric function values without finding α directly.(a) sin α(b) cos(α + 2π)(c) tan α(d) sin(−α)(e) cos(α + π)(f) sin(13π − α)(g) tan3π2− α3. Decide whether each of the following functions is even, odd, or neither. (Recall that a function f iseven if f (−x) = f (x) for all x in its domain and odd if f (−x) = −f (x) for all x in its domain.) Youmay graph the functions to check your work, but you should justify your answers algebraically.(a) f(x) = 1 + cos x(b) f(x) = 1 + sin x(c) f(x) = tan x(d) f(x) = | sin x|(e) f(x) = sin 2x(f) f (x) = sin x + cos x4. A typical pe rson might have a pulse of 70 heartbea ts per minute and a blood pre ssure reading of 120over 80, where 120 is a the high pressure and 80 is the low. Model blood pressure as a function of timeusing a sinusoidal function B(t), where t is time in minutes.(a) What is the amplitude of B(t)?(b) What is the period of B(t)?(c) Write a poss ible formula for