Answer:
The expression simplifies to:
= [tex]\frac{\tan\theta}{\sin ^2 \theta+\cos ^2 \theta}=\tan\theta}[/tex]
Step-by-step explanation:
Given trigonometric expression:
[tex]\frac{\tan\theta}{\sin ^2 \theta+\cos ^2 \theta}[/tex]
Using identity :
[tex]\sin ^2 \theta+\cos ^2 \theta=1[/tex]
[tex]\frac{\tan\theta}{\sin ^2 \theta+\cos ^2 \theta}[/tex]
[tex]=\frac{\tan\theta}{1}[/tex]
The expression simplifies to:
= [tex]\frac{\tan\theta}{\sin ^2 \theta+\cos ^2 \theta}=\tan\theta}[/tex]
