Question

[
begin{array}{l}
sin A(1+tan A)+cos A(1+cot A)
=sec A+operatorname{cosec} A
text { Taking } L cdot mid-1 cdot int_{cos A}+frac{sin ^{2} A}{cos A}+cos A+frac{cos ^{2} A}{sin A}
sin A+frac{sin A}{=} frac{sin ^{2} A+cos ^{2} A}{cos A}=frac{sin ^{2} A+cos ^{2} A}{sin A}
=frac{1}{sin A}
=frac{1}{cos A}
end{array}
]

# all T1 Selo SECU Prove that sin A (1+tan A) + cos A (1 + cot A) = sec A + cosec A. 08

Solution