Question

1- If csc θ = 5 and θ is an acute angle, find:
a. sin θ
b. cos θ

2- Use trig identities to transform the expression (sec θ)/(csc θ) into a single trig function. Assume θ is acute.

7. Using the table of values, find the value of θ in radians (assume θ is acute):
a. cot θ = square root of 3
b. sec θ = 2
c. csc θ = 2/ square root of3
d. tan θ = 1

Answer 1

#1. sinθ = 1/cscθ
cos^2θ + sin^2θ = 1

#2. secθ/cscθ = 1/cosθ * sinθ = tanθ

#3. Review the special angles: 0, π/6, π/4, π/3, π/2