Solve sqrt{4}-(sqrt{3}-3)^0+(1/2)^-2-4sin30^circ

$$\sqrt { 4 } - ( \sqrt { 3 } - 3 ) ^ { 0 } + ( \frac { 1 } { 2 } ) ^ { - 2 } - 4 \sin 30 ^ { \circ }$$

Evaluate

$$3$$

Solution Steps

Calculate the square root of 4 and get 2.

$$2-\left(\sqrt{3}-3\right)^{0}+\left(\frac{1}{2}\right)^{-2}-4\sin(30)$$

Calculate \sqrt{3}-3 to the power of 0 and get 1.

$$2-1+\left(\frac{1}{2}\right)^{-2}-4\sin(30)$$

Subtract 1 from 2 to get 1.

$$1+\left(\frac{1}{2}\right)^{-2}-4\sin(30)$$

Calculate \frac{1}{2} to the power of -2 and get 4.

$$1+4-4\sin(30)$$

Add 1 and 4 to get 5.

$$5-4\sin(30)$$

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

$$5-4\times \frac{1}{2}$$

Multiply 4 and \frac{1}{2} to get 2.

$$5-2$$

Subtract 2 from 5 to get 3.

$$3$$