Answer:
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
