What is the value of cos(arctan(2)) ?

The value of cos(arctan(2)) is (sqrt(5))/5

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cos(arctan(2))

cos (arctan (2))

\frac{5}{5}

Decimal Notation

0.4472135955

Solution steps

cos (arctan (2))

Rewrite using trig identities:

cos (arctan (2)) = \frac{1 + 2 ^{2}}{1 + 2 ^{2}}

Use the following identity:

cos (arctan (x)) = \frac{1 + x ^{2}}{1 + x ^{2}}

= \frac{1 + 2 ^{2}}{1 + 2 ^{2}}

= \frac{1 + 2 ^{2}}{1 + 2 ^{2}}

Simplify

= \frac{5}{5}

tan (\frac{3}{3})

cos (2 9^{\circ})

cos (4 2^{\circ})

sin^{2} (1 0^{\circ})

cos (- 15 0^{\circ})

What is the value of cos(arctan(2)) ?
The value of cos(arctan(2)) is (sqrt(5))/5