Question

If tan(θ)= sin(θ)/cos(θ), means:

a) cos(θ)×tan(θ)
b) sin(θ)×tan(θ)
c) tan(θ)×cos(θ)
d) tan(θ)÷cos(θ)

Answer 1

The answer is d) tan(θ)÷cos(θ).

Step-by-step explanation:

The answer to the question is d) tan(θ) ÷ cos(θ).

Given the trigonometric identity tan(θ) = sin(θ) ÷ cos(θ), we can rearrange the equation to get:

tan(θ) = sin(θ) ÷ cos(θ)

Multiplying both sides of the equation by cos(θ) gives us:

cos(θ) × tan(θ) = sin(θ)

Therefore, the correct option is d) tan(θ) ÷ cos(θ).