Question

1+(1/sin square theta)
------------------------------
1+(1/cos square theta)​

Answer 1

Simplify:

Step-by-step explanation:

$\ Given \ value:\\\\\frac{1+(\frac{1}{\sin^2\theta})}{1+(\frac{1}{\cos^2\theta})}\\\\\ Solution:\\\\\frac{1+(\frac{1}{\sin^2\theta})}{1+(\frac{1}{\cos^2\theta})}\\\\\rightarrow \frac{1+cosec^2\theta}{1+\sec^2\theta}\\\\\rightarrow \frac{1+cosec^2\theta}{1+\sec^2\theta}\\\\\rightarrow \frac{1+1+\cot^2\theta}{1+1+\tan^2\theta}\\\\\rightarrow \frac{2+\cot^2\theta}{2+\tan^2\theta}$

Learn more:

• Find the value: https://brainly.in/question/16148813#