Solve (1/3)^-1+(-1)quad0+2sin45^circ+|-2|

$$( \frac { 1 } { 3 } ) ^ { - 1 } + ( - 1 ) \quad 0 + 2 \sin 45 ^ { \circ } + | - 2 |$$

Evaluate

$$\sqrt{2}+5\approx 6.414213562$$

Solution Steps

Calculate \frac{1}{3} to the power of -1 and get 3.

$$3-0+2\sin(45)+|-2|$$

Multiply -1 and 0 to get 0.

$$3+0+2\sin(45)+|-2|$$

Add 3 and 0 to get 3.

$$3+2\sin(45)+|-2|$$

Get the value of \sin(45) from trigonometric values table.

$$3+2\times \frac{\sqrt{2}}{2}+|-2|$$

Cancel out 2 and 2.

$$3+\sqrt{2}+|-2|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -2 is 2.

$$3+\sqrt{2}+2$$

Add 3 and 2 to get 5.

$$5+\sqrt{2}$$