Question

hey help me please.

stucked in these too help out please.
best explanation of all the too will may get brainliest
SOLVE ASAP!!

Answer 1

A small correction in your question. The denominator should be cotA - cosecA + 1.

Given Equation is cotA + cosecA - 1/(cotA - cosecA + 1).

We know that cot^2A - cosec^2A = -1.

We know that (-) * (-) = +.

$= > \frac{(cotA + cosecA) + [cot^2A - cosec^2A]}{(cotA - cosecA + 1)}$

We know that a^2 - b^2 = (a + b)(a - b).

$= > \frac{(cotA + cosecA) + [(cotA + cosecA)(cotA - cosecA)]}{cotA - cosecA + 1}$

Take cotA + cosecA common, we get

$= > \frac{(cotA + cosecA)[1 + cotA - cosecA]}{cotA - cosecA + 1}$

cotA - cosecA + 1 is in the numerator and denominator, so it will be cancelled.

= > cotA + cosecA

= > (cosA/sinA) + (1/sinA)

= > (1 + cosA)/sinA.