2sin + 2cos +tan + cot + 1/sin + 1/cos=

[2.sin^2.cos + 2.cos^2.sin + sin^2 + cos^2 +sin + cos]/(sin.cos)

[sin(2sincos + 1) + cos(2sincos + 1) + 1 ]/(sincos)

[(2sincos + 1)(sin + cos) +1 ]/(sincos)

[(sin + cos)^3 +1]/(sincos)

for sin+cos , min x= 45 or 225...(by derivative)

for sin.cos , min x= 45 or 135 ...(by derivative)...and after the try, for each conditions, inaquality is true....

so, answer is x=R / (90n) ....n=0,1,2,3.....

sorry for my bad english