What is the value of arccos(cos(5)) ?

The value of arccos(cos(5)) is 2pi-5

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arccos(cos(5))

arccos (cos (5))

2 π - 5

Decimal Notation

73.52

Solution steps

arccos (cos (5))

Use the inverse trig property:

2 π - 5

arccos (cos (5))

For

0 \leq x \leq π, a rccos (cos (x)) = x

Rewrite using trig identities:

cos (5) = cos (2 π - 5)

cos (5)

cos (x) = cos (2 π - (x))

= cos (2 π - 5)

= arccos (cos (2 π - 5))

0 \leq 2 π - 5 \leq π

= 2 π - 5

= 2 π - 5

\frac{2 tan ( \frac{5 π}{8} )}{1 - tan ^{2} ( \frac{5 π}{8} )}

800 \cdot cos (3 0^{\circ})

3 sec^{2} (\frac{3 π}{4})

2 sin (\frac{2 π}{5}) cos (\frac{2 π}{5})

\frac{sin ( 84 0 ^{\circ} )}{cos ( 33 0 ^{\circ} ) + sin ( 31 5 ^{\circ} )}