Lesson Steps:

Start with LHS.
(1+secA)/sec A = (1+(1/cosA))/(1/cosA)
= (cosA+1)/cosA * cosA
= cosA+1

Now multiply and divide by (1-cosA)
(cosA+1)*(1-cosA)/(1-cosA)
= (1-cos²A)/(1-cosA)
= sin²A/(1-cosA) = RHS

Answer:

RHS=LHS can be proved.

Grade: 10
Level: Junior high
Subject: Math
Topic: Trigonometry