Solve |-2|+(sin36^circ-1/2)^0-sqrt{4}+tan45^circ

$$| - 2 | + ( \sin 36 ^ { \circ } - \frac { 1 } { 2 } ) ^ { 0 } - \sqrt { 4 } + \tan 45 ^ { \circ }$$

Evaluate

$$2$$

Solution Steps

Evaluate trigonometric functions in the problem

$$| -2 | + {(0.5877852522924731 - \frac{1}{2})} ^ {0} - \sqrt{4} + \tan(45)$$

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.

$$2+\left(0.5877852522924731-\frac{1}{2}\right)^{0}-\sqrt{4}+\tan(45)$$

Subtract \frac{1}{2} from 0.5877852522924731 to get \frac{877852522924731}{10000000000000000}.

$$2+\left(\frac{877852522924731}{10000000000000000}\right)^{0}-\sqrt{4}+\tan(45)$$

Calculate \frac{877852522924731}{10000000000000000} to the power of 0 and get 1.

$$2+1-\sqrt{4}+\tan(45)$$

Add 2 and 1 to get 3.

$$3-\sqrt{4}+\tan(45)$$

Calculate the square root of 4 and get 2.

$$3-2+\tan(45)$$

Subtract 2 from 3 to get 1.

$$1+\tan(45)$$

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

$$1+1$$

Add 1 and 1 to get 2.

$$2$$