Simplify the trigonometric expression. 1/1+sin 0+1/1-sin 0

Assuming you mean (1/1+sin 0) + (1/1-sin 0), then we have to first remember that the sin of 0 is 0. The expression would now be (1/1+0) + (1/1-0), which is also just (1/1) + (1/1) or 1+1. This comes out to 2, so the expression can be evaluated as 2.