Assume that 0≤𝜃≤𝜋/2. Find the values of sin(𝜃) and tan(𝜃) if cos(𝜃)=7/25. (Use symbolic notation and fractions where needed)

Answer 1

In that range, we are in the first quadrant where both sin and cos are positive

use the identity:

sin^2 + cos^2 = 1

sin^2 + (7/25)^2 = 1

sin = 24/25

tan = sin/cos = 24/25 / 7/25 = 24/7