Question

those who will answer correctly will be marked as brainliest

Answer 1

Here's ur ans friend nd plzz mrk brainliest.....

Answer 2

Given LHS = 1/cosec A - cot A - 1/sinA

On rationalizing, we get

$\frac{1}{cosecA - cotA} * \frac{cosecA + cotA}{cosecA+cotA} - \frac{1}{sinA}$

$\frac{cosecA + cotA}{cosec^2A - cot^2A} - cosecA$

NOTE: We know that cosec^2A - cot^2A = 1 and 1/sinA = cosecA

$\frac{cosecA + cotA}{1} - cosecA$

cosecA + cotA - cosecA

cotA.  ---------------------------------------------- (1)



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

On rationalizing, we get

$\frac{1}{sinA} - \frac{1}{cosecA + cotA} * \frac{cosecA - cotA}{cosecA - cotA}$

$\frac{1}{sinA} - \frac{cosecA + cotA}{cosec^2A - cot^2A}$

$cosecA - \frac{cosecA + cotA}{1}$

cosecA - cosecA + cotA

cot A   ----------------------- (2).



From (1) & (2), LHS = RHS.


Hope this helps!