Problems:
1. Find the remaining trigonometric ratio:
Sinθ = 3/5, 0<θ<∏/2
2. Prove the identities:
a. Sin(∏/2 + x) = COS x
b. Sec y- cos y = tan y sin y
c. sin x sin 2x + cos x cos 2x = cos x
3. If sin x = 1/3 and sec y = 5/4 where x and y lie between 0 and ∏/2, evaluate the expression:
sin(x + y)
4. Find all values of x in the interval [0, ] that satisfy the equation:
a. 2 sin2x = 1
b. sin 2x = cos x
c. sin x = tan x
5. Graph the function:
y = 1/3 tan(x - ∏/2)