 Hi and welcome to the session. My name is Mansi and I am going to help you with the following question. The question says find the value of minus tan theta into cot 90 degree minus theta plus secant theta into cosecant 90 degree minus theta plus sine square 35 degree plus sine square 35 degree divided by tan into tan 10 degree into tan 20 degree into tan 30 degree to tan 70 degree into tan 80 degree. Let us start with a solution to this question. You see that this is given to us. Now this can be written as minus tan theta into cot 90 degree minus theta is tan theta plus secant theta into cosecant 90 degree minus theta is secant theta plus sine square 35 degree plus sine square 90 degree minus 35 degree. The whole divided by tan 10 degree into tan 20 degree into tan 30 degree into tan 90 degree minus 20 degree into tan 90 degree minus 10 degree. This is equal to minus tan square theta plus secant square theta plus sine square 35 degree plus cos square 35 degree and the whole divided by tan 10 degree into tan 20 degree into tan 30 degree into cot 20 degree because tan 90 degree minus 20 degree is cot 20 degree into cot 10 degree. This is equal to minus tan square theta plus secant square theta plus sine square 35 degree plus cos square 35 degree is 1 divided by tan 10 degree into tan 20 degree into tan 30 degree multiplied by now cot 20 degree is 1 upon tan 20 degree and cot 10 degree is 1 upon tan 10 degree. This is equal to minus tan square theta plus 1 plus tan square theta plus 1 divided by tan 10 degree gets cancelled with this and this with this. So we have just tan 30 degree left in the denominator and the numerator minus tan square theta gets cancelled with plus tan square theta we have 2 upon tan 30 degree that is equal to 2 upon 1 by root 3 and that is equal to 2 root 3. So this is our answer to this question. I hope that you understood the solution and enjoyed this session. Have a good day.