Solve (1/2)^-1+(pi+1)^0-2cos60^circ+sqrt{9}

$$( \frac { 1 } { 2 } ) ^ { - 1 } + ( \pi + 1 ) ^ { 0 } - 2 \cos 60 ^ { \circ } + \sqrt { 9 }$$

Evaluate

$$5$$

Solution Steps

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

$$2+\left(\pi +1\right)^{0}-2\cos(60)+\sqrt{9}$$

Calculate \pi +1 to the power of 0 and get 1.

$$2+1-2\cos(60)+\sqrt{9}$$

Add 2 and 1 to get 3.

$$3-2\cos(60)+\sqrt{9}$$

Get the value of \cos(60) from trigonometric values table.

$$3-2\times \frac{1}{2}+\sqrt{9}$$

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

$$3-1+\sqrt{9}$$

Subtract 1 from 3 to get 2.

$$2+\sqrt{9}$$

Calculate the square root of 9 and get 3.

$$2+3$$

Add 2 and 3 to get 5.

$$5$$