What is the value of cos(arctan(6)) ?

The value of cos(arctan(6)) is (sqrt(37))/(37)

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cos(arctan(6))

cos (arctan (6))

\frac{37}{37}

Decimal Notation

0.16439 \dots

Solution steps

cos (arctan (6))

Rewrite using trig identities:

cos (arctan (6)) = \frac{1 + 6 ^{2}}{1 + 6 ^{2}}

Use the following identity:

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

= \frac{1 + 6 ^{2}}{1 + 6 ^{2}}

= \frac{1 + 6 ^{2}}{1 + 6 ^{2}}

Simplify

= \frac{37}{37}

cos (116 6^{\circ})

\frac{tan ( 4 5 ^{\circ} )}{2}

arcsec (1.6)

\frac{3.5}{tan ( 3 0 ^{\circ} )}

(sin (4 5^{\circ}))^{2} - 2 cos (3 0^{\circ})

What is the value of cos(arctan(6)) ?
The value of cos(arctan(6)) is (sqrt(37))/(37)