What is the value of tan(arctan((sqrt(2))/2)) ?

The value of tan(arctan((sqrt(2))/2)) is (sqrt(2))/2

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tan(arctan((sqrt(2))/2))

tan (arctan (\frac{2}{2}))

\frac{2}{2}

Decimal Notation

0.70710 \dots

Solution steps

tan (arctan (\frac{2}{2}))

Rewrite using trig identities:

tan (arctan (\frac{2}{2})) = \frac{2}{2}

Use the following identity:

tan (arctan (x)) = x

= \frac{2}{2}

= \frac{2}{2}

sin (68. 2^{\circ})

arctan (\frac{0.5}{1})

1.3 (6)^{0.3} + 6 cos (2 (6) - 5)

cos (\frac{1 π}{6})

\frac{tan ( 2 5 ^{\circ} ) + tan ( 3 5 ^{\circ} )}{1 - tan ( 2 5 ^{\circ} ) tan ( 3 5 ^{\circ} )}

What is the value of tan(arctan((sqrt(2))/2)) ?
The value of tan(arctan((sqrt(2))/2)) is (sqrt(2))/2