ve that tan!2 + tan! 2 + tan-1 xx I, where x2 + y2 +2=r.zr20161 and have a grain storage capacity of 100 quintals and 50 quintals respectively.

Prove that (1 + tan A - Sec A) xx (1 + tan A + sec A) = 2 tan

2 tan ( tan^(-1)(x)+ tan^(-1)(x^(3))) " where " x in R - {-1,1} is equal to

2 tan ( tan^(-1)(x)+ tan^(-1)(x^(3))) " where " x in R - {-1,1} is equal to

A wholesale dealer wants to starts the business with Rs. 2,40,000. The cost price of a quintal wheat is Rs. 2000 and the cost price of a quintal rice is Rs. 3000. He has the space capacity for 200 quintals grain. The profit from the sale of one quintal wheat is Rs. 125 and that from one quintal rice is Rs. 200. If he has x quintal rice and y quintal wheat then the objective function for the maximum profit is ............

Prove that tan (2 tan^(-1) x ) = 2 tan (tan^(-1) x + tan^(-1) x^(3)) .

Prove that tan (2 tan^(-1) x ) = 2 tan (tan^(-1) x + tan^(-1) x^(3)) .

If tan^(2)x + 2 tan x . tan 2 y = tan^(2) y + 2tan y. tan 2 x ,"then the value of each part will be-"

Two godowns A and B have grains capacity of 100 quintals and 50 quintals respectively.They supply to 3 ration shop D,E,F whose requirement are 60,50 and 40 quintals respectively.The cost of transportation per quintal from the godowns to the shops is given in the following table, transportation cost per quintal(in Rs). Hence should the supplies be transported in order that the transportation cost is minimum?What is the minimum cost?