prove tan^2(x)+1=2

Solution

prove

tan^{2} (x) + 1 = 2

False

Solution steps

tan^{2} (x) + 1 = 2

Show that the two sides are not equal

For

tan^{2} (x) + 1 = 2

plug in

x = 0

tan^{2} (0) + 1 = 1

tan^{2} (0) + 1

Use the following trivial identity:

tan (0) = 0

tan (0)

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 0

= 0^{2} + 1

Simplify

= 1

The two sides are not equal

\Rightarrow False

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