Question

PROVE THE ABOVE EQUATION.
AND PLEASE ANSWER PROPERLY!!

IF don't know the answer then just leave it and don't put unwanted statements..........
PLEASE...........​​!!​​!!!_()_ ​

Answer 1

we know that

tan (90-A) = cotA

cot(90-A) = tanA

cosec(90-A) = sec A

sin (90 -A) = cosA

sec^2 A - 1 = tan^2 A

this also gives sec^2A - tan^2 A = 1

cosec^2 A - 1 = cot^2 A

this also gives

cosec^2 A - cot^2 A = 1, or

1 + cot^2 A = cosec^2 A

now our problems

I) cosec^2A + tan^2 (90 - A) = 2tan^2(90-A) + 1

LHS = cosec^2 A + tan^2 (90-A)

cosec^2 A + cot^2A

1 + cot^2 A + cot^2 A

2 cot^2 A + 1

2 tan^2(90-A) + 1

RHS

i

try to solve other two in similar manner