Question

Prove that: 1/(1+Tan²A)+1/(1+cot²A)=1​

Answer 1

Answer:

$\mathrm{Prove\:}\frac{1}{\left(1+\tan ^2\left(A\right)\right)}+\frac{1}{\left(1+\cot ^2\left(A\right)\right)}=1:\quad \mathrm{True}$

Step-by-step explanation:

$\frac{1}{1+\tan ^2\left(A\right)}+\frac{1}{1+\cot ^2\left(A\right)}=1$

$\mathrm{Manipulating\:left\:side}$

$\frac{1}{1+\tan ^2\left(A\right)}+\frac{1}{1+\cot ^2\left(A\right)}$

$=1$

$\mathrm{We\:showed\:that\:the\:two\:sides\:could\:take\:the\:same\:form}$

$\Rightarrow \mathrm{True}$

Answer 2

Answer:

Here you go, buddy! Hope it helps.