 Hello and welcome to the session. Let's work out the following question. It says, choose the correct option, justify your choice. Let's now move on to the solution. The given expression is 1 plus tan theta plus secant theta into 1 plus cot theta minus cosecant theta. Now we have to simplify this expression and we have to find the value of this expression. So we simplify this. Tan theta can be written as sin theta upon cos theta. Secant theta can be written as 1 upon cos theta into 1 plus cot theta which can be written as cos theta upon sin theta minus cosecant theta which can be written as 1 upon sin theta. This will gain equal to taking LCM in the cost expression. LCM would be cos theta so we have cos theta plus sin theta plus 1 in the numerator upon cos theta again taking LCM. So we have sin theta plus cos theta minus 1 upon sin theta. Now we combine sin theta plus cos theta here and sin theta plus cos theta here. So we have cos theta plus sin theta whole square minus 1 square upon cos theta into sin theta. Here we have used the formula a square minus b square is equal to a minus b into a plus b and here in this expression a is cos theta plus sin theta and b is 1. So now let us apply the formula of a plus b whole square. So it is cos square theta plus sin square theta plus 2 cos theta sin theta or 2 sin theta cos theta minus 1 upon cos theta into sin theta. Now we know that cos square theta plus sin square theta is 1 so 1 plus 2 sin theta cos theta minus 1 upon cos theta into sin theta plus 1 gets cancelled with minus 1 and we are left with 2 sin theta cos theta upon sin theta cos theta sin theta gets cancelled with sin theta cos theta gets cancelled with cos theta and we are left with 2. So the answer is 2 and the correct option is c. So c is the correct option. So this completes the question and the session. My friend I will take care. Have a good day.