If \( \mathrm{A} \) and \( \mathrm{B} \) are complimentary angles, then....
If \( \mathrm{A} \) and \( \mathrm{B} \) are complimentary angles, then
\( \mathrm{P} \)
(1) \( \left(1+\tan \frac{A}{2}\right)\left(1+\tan \frac{B}{2}\right)=2 \)
(2) \( \left(1+\cot \frac{\mathrm{A}}{2}\right)\left(1+\cot \frac{\mathrm{B}}{2}\right)=2 \)
(3) \( \left(1+\sec \frac{\mathrm{A}}{2}\right)\left(1+\operatorname{cosec} \frac{\mathrm{B}}{2}\right)=2 \)
(4) \( \left(1-\tan \frac{\mathrm{A}}{2}\right)\left(1-\tan \frac{\mathrm{B}}{2}\right)=2 \)
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