Question

1/(1+tan2theta)+1/(1+cot2theta)​

Answer 1

Answer:

1

Step-by-step explanation:

$\frac{1}{ {1 + \tan}^{2} \theta} + \frac{1}{1 + { \cot}^{2} \theta} \\ = \frac{1}{ { \sec }^{2} \theta} + \frac{1}{ { \csc }^{2} \theta } \\ = { { \cos }^{2} \theta + \sin}^{2} \theta \\ = 1$

IDENTITY USED:

1 + tan²x = sec²x

cot²x + 1 = csc²x

sin²x + cos²x = 1

HOPE IT HELPS :D