Question

simplify 1/1+cot2A + 1/1+tan2A​

Answer 1

Answer:

1

Step-by-step explanation:

$\frac{1}{1 + \cot(2 \alpha ) } + \frac{1}{1 + \tan(2 \alpha ) } \\ \\ = \frac{1}{1 + \cot(2 \alpha ) } + \frac{ \cot(2 \alpha ) }{1 + \cot(2 \alpha ) } \\ \\ \\ = \frac{1 + \cot(2 \alpha ) }{1 + 2 \cot(2 \alpha ) } \\ \\ = 1$