Dear Mohit ,
Sin theta and cos theta this all are Trigonometry function it is mostly used for obtaining unknown angles and distances from known or measured angles in geometric figures. Based on the definitions, various simple relationships exist among the functions.There are lots of sin and cos theta formula is available in Trigonometry based on our requirement but you are not mentioned specifically which one you wants to know so it will difficult to answer the exact one.
I hope you will understand
thanks
Question : What is the value of $\frac{\sin \theta+\cos \theta}{\sin \theta-\cos \theta}+\frac{\sin \theta-\cos \theta}{\sin \theta+\cos \theta}$?
Option 1: $\frac{1}{\left(\sin ^2 \theta-\cos ^2 \theta\right)}$
Option 2: $2\left(\sin ^2 \theta-\cos ^2 \theta\right)$
Option 3: $\frac{2}{\left(\sin ^2 \theta-\cos ^2 \theta\right)}$
Option 4: $\sin ^2 \theta-\cos ^2 \theta$
Question : What is $\tan \frac{\theta}{2}$?
Option 1: $\frac{\cos \theta}{1-\sin \theta}$
Option 2: $\frac{\sin \theta}{1-\cos \theta}$
Option 3: $\frac{\cos \theta}{1-\cos \theta}$
Option 4: $\frac{\sin \theta}{1+\cos \theta}$
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