If cos(90 − θ) = 4/5​, then what is the value of tan θ​?

Explanation

Given: ∘ ​cos(90 − θ) = 4/5.​ Formula Used: ∘ ​cos(90 − θ) = sin θ. sin θ tan θ = .​ cos θ ​ Solution: sin ​ θ = 4/5.​ This corresponds to a 3 - 4 - 5 triangle where Perpendicular = 4, Hypotenuse = 5, Base = 3. Perpendicular 4 tan ​ θ= = .​ Base 3 ​ ​ Final Answer So the correct answer is (a)