What is the value of cos(arccos(2/7)) ?

The value of cos(arccos(2/7)) is 2/7

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cos(arccos(2/7))

cos (arccos (\frac{2}{7}))

\frac{2}{7}

Decimal Notation

0.28571 \dots

Solution steps

cos (arccos (\frac{2}{7}))

Rewrite using trig identities:

cos (arccos (\frac{2}{7})) = \frac{2}{7}

Use the following identity:

cos (arccos (x)) = x

= \frac{2}{7}

= \frac{2}{7}

cos (arccot (2) + arccot (3))

arctan (\frac{2 3}{3})

sin (- 3 0^{\circ}) + sin (15 0^{\circ})

2 arcsin (\frac{3}{2})

arctan (\frac{40}{9})