Question

Given cos 0 = 3/5 and 0 is in Quadrant I, what is the value of tan 0 ?

Answer 1

4 / 3

Explanation:

cos θ = 3 / 5

cos 53 = 3 / 5

θ = 53

tan θ = sin θ / cos θ

sin 53 = 4 / 5

tan 53 = sin 53 / cos 53

= ( 4 / 5 ) / ( 3 / 5 )

= ( 4 / 5 ) x ( 5 / 3 )

= ( 4 x 5 ) / ( 5 x 3 )

tan 53 = 4 / 3