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Prove that:sinA/1-cosA-1=1/cosA



User Chenyang
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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.

User Ncabral
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