The angle θ lies in Quadrant I. cosθ=35 What is tanθ?

Step-by-step explanation:

sin2θ + cos2θ = 1

sin2θ + (3/5) 2 = 1

sin2θ = 1 - (3/5) 2

sin2θ = 1 - 9/25

sin2θ = 16/25

sin θ = ±√[ 16/25 ]

sin θ = ± 4 / 5

Since θ is in Quadrant I, sin θ is positive.

sin θ = 4 / 5

tan θ = sin θ / cos θ

tan θ = (4/5) / (3/5)

tan θ = 4 / 3