Question

1/CosecA-cotA-1/sina=1/sina-1/cosecA+cotA

Answer 1

Answer:

Step-by-step explanation:

1/cosecA - cotA -1/sinA = 1/sinA - 1/cosecA + cotA

L.H.S

= 1/cosecA - cotA * cosecA + cotA/ cosecA + cotA - 1/sinA

= CosecA + cotA/ cosec^2A - cot^2A - 1/sinA

= CosecA + cotA - cosecA

= CotA

R.H.S

= 1/sinA - 1/cosecA + cotA * cosecA - cotA/ cosecA - cotA

= 1/sinA - (cosecA - cotA)/ cosec^2A - cot^2A

= 1/sinA - (cosecA - cotA)

= cosecA - cosecA + cotA

= cotA

Therefore L.H.S = R.H.S