Question

cos∅/1-sin∅=1+sin∅/cos∅​

Answer 1

Answer:

Proof

Step-by-step explanation:

LHS = cos∅/ (1 - sin∅)

Multiply numerator and denominator by (1 + sin∅) we get,

LHS = cos∅ * (1 + sin∅) / (1 - sin∅)*(1 + sin∅)

Now, (a+b)*(a-b) = a² - b²

therefore LHS = cos∅ * (1 + sin∅) / (1 - sin²∅)

But 1 - sin²∅ = cos²∅

thus LHS = cos∅ * (1 + sin∅) / cos²∅

LHS = (1 + sin∅) / cos∅

LHS = RHS