Question

Cos A minus Sin A + 1 / Cos A + Sin A minus 1 is equal to cosec A + cot a

Answer 1

heya aa

it's easy so easy actually.

cosA-sinA+1/cos+sinA-1(dividing by sin¢ on numerator and denominator)

then,it will be ,

=)cot¢-1+cosec¢/cot¢+1-cosec¢

cot¢+cosec¢-(cosec^2¢-cot^2¢)/cot¢+1-cosec¢

=)(cosec¢+cot¢)*cot¢-cosec¢+1/cot¢+1-cosec¢

cot¢+1-cosec¢ cancelled .

then,cosec¢+cot¢ Rhs proove ..
.
hope it help you.

@rajukumar☺1

Answer 2

ANSWER
..........
LHS=cosA−sinA+1cosA+sinA−1

=sinA(cosA−sinA+1)sinA(cosA+sinA−1)

=sinAcosA−sin2A+sinAsinA(cosA+sinA−1)

=sinAcosA+sinA−(1−cos2A)sinA(cosA+sinA−1)

=sinA(cosA+1)−(1−cosA)(1+cosA)sinA(cosA+sinA−1)

=(1+cosA)(sinA+cosA−1)sinA(cosA+sinA−1)

=(1+cosA)(sinA+cosA−1)sinA(cosA+sinA−1)

=1sinA+cosAsinA

=cscA+cotA=RHS

$= = = = = = = = = = =$