Question

cosA - sinA + 1 / cos A + sinA + 1 = cosecA + cotA​

Answer 1

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Answer 2

Answer:

True LHS=RHS

Step-by-step explanation:

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

(1+cosx−sinx) /

(1+cosx+sinx)

Dividing and multiplying by cosx

(secx+1−tanx) /

(secx+1+tanx)

(secx+1−tanx) /

secx+tanx+sec

2

x−tan

2

x

secx+1−tanx

secx+tanx+(secx−tanx)(secx+tanx)

secx+1−tanx

secx+tanx(secx−tanx+1)

secx+tanx

cosx

1

+

cosx

sinx

=

cosx

1+sinx