Answer:
Explanation:
To prove that sinA/(1-cosA) = 1/cosA, we will start with the left-hand side and simplify it using trigonometric identities.
sinA/(1-cosA) = sinA/(1-cosA) * (sin^2A + cos^2A) / (sin^2A + cos^2A)
= (sinAsin^2A + sinAcos^2A) / (sin^2A + cos^2A - sin^2AcosA - cos^2AcosA)
= (sinAsinAcosA + sinAcosAcosA) / (sinAcosA - cosAcosA)
= sinA/cosA / (sinA/cosA - 1)
= 1/cosA
Therefore, sinA/(1-cosA) = 1/cosA, which is true.