Solve tan15^circ/2-sec^215^circ

$$\frac { \tan 15 ^ { \circ } } { 2 - \sec ^ { 2 } 15 ^ { \circ } }$$

Evaluate

$$\frac{267949192431122700000000000000}{928203230275509276385951933111}\approx 0.288675135$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.2679491924311227}{2 - 1.035276180410083 ^ {2}}$$

Calculate 1.035276180410083 to the power of 2 and get 1.071796769724490723614048066889.

$$\frac{0.2679491924311227}{2-1.071796769724490723614048066889}$$

Subtract 1.071796769724490723614048066889 from 2 to get 0.928203230275509276385951933111.

$$\frac{0.2679491924311227}{0.928203230275509276385951933111}$$

Expand \frac{0.2679491924311227}{0.928203230275509276385951933111} by multiplying both numerator and the denominator by 1000000000000000000000000000000.

$$\frac{267949192431122700000000000000}{928203230275509276385951933111}$$