What is the value of cos(arccos((sqrt(3))/2)) ?

The value of cos(arccos((sqrt(3))/2)) is (sqrt(3))/2

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cos(arccos((sqrt(3))/2))

cos (arccos (\frac{3}{2}))

\frac{3}{2}

Decimal Notation

0.86602 \dots

Solution steps

cos (arccos (\frac{3}{2}))

Rewrite using trig identities:

cos (arccos (\frac{3}{2})) = \frac{3}{2}

Use the following identity:

cos (arccos (x)) = x

= \frac{3}{2}

= \frac{3}{2}

cos (67. 5^{\circ}) sin (22. 5^{\circ})

tan (- \frac{10 π}{3})

csc (39 0^{\circ})

cos (2 \cdot \frac{π}{3})

arccsc (- 3)

What is the value of cos(arccos((sqrt(3))/2)) ?
The value of cos(arccos((sqrt(3))/2)) is (sqrt(3))/2