Question

a
SInA-COs A +1
Sina+ CoSA-1 = 1
SeCA - tanA​

Answer 1

Answer:

How do I prove sinA-cosA+1/sinA+cosA-1=1/secA-tanA?

What made you believe in astrology? Can you share an experience that has come true and made you believe in it?

I do not usually share my life stories so openly on public platforms. But seeing how my life turned around due to some events, es

How do I prove sinA-cosA+1/sinA+cosA-1=1/secA-tanA?

Hi,

LHS = sinA-cosA+1/sinA+cosA-1

divide both numerator and denominator by cosA

LHS=(tanA−1+secA)/(tanA+1−secA)

Now

sec2A=1+tan2A

sec2A−tan2A=1

Using above relation at denominator of LHS

LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)

LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))

LHS=1/(secA−tanA)

LHS=RHS

Hence Proved.