Solve 1-tan^245^circ/1+tan^245^circ=?

$$\frac { 1 - \tan ^ { 2 } 45 ^ { \circ } } { 1 + \tan ^ { 2 } 45 ^ { \circ } } = ?$$

Evaluate

$$0$$

Solution Steps

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

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

Calculate 1 to the power of 2 and get 1.

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

Subtract 1 from 1 to get 0.

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

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

$$\frac{0}{1+1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$\frac{0}{1+1}$$

Add 1 and 1 to get 2.

$$\frac{0}{2}$$

Zero divided by any non-zero number gives zero.

$$0$$