Solve (-sqrt{2}-1)^0-2sin30^circ+(1/3)^-1+(-1)

$$( - \sqrt { 2 } - 1 ) ^ { 0 } - 2 \sin 30 ^ { \circ } + ( \frac { 1 } { 3 } ) ^ { - 1 } + ( - 1 )$$

Evaluate

$$2$$

Solution Steps

Calculate -\sqrt{2}-1 to the power of 0 and get 1.

$$1-2\sin(30)+\left(\frac{1}{3}\right)^{-1}-1$$

Get the value of \sin(30) from trigonometric values table.

$$1-2\times \frac{1}{2}+\left(\frac{1}{3}\right)^{-1}-1$$

Multiply 2 and \frac{1}{2} to get 1.

$$1-1+\left(\frac{1}{3}\right)^{-1}-1$$

Subtract 1 from 1 to get 0.

$$0+\left(\frac{1}{3}\right)^{-1}-1$$

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

$$0+3-1$$

Add 0 and 3 to get 3.

$$3-1$$

Subtract 1 from 3 to get 2.

$$2$$