Is tan(x)-sqrt(3)=0 ?

The answer to whether tan(x)-sqrt(3)=0 is False

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prove tan(x)-sqrt(3)=0

prove

tan (x) - 3 = 0

False

Solution steps

tan (x) - 3 = 0

Show that the two sides are not equal

For

tan (x) - 3 = 0

plug in

x = 0

tan (0) - 3 = - 3 (Decimal : - 1.73205 \dots)

tan (0) - 3

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 - 3

Simplify

= - 3

The two sides are not equal

\Rightarrow False

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