What is the value of arccos(cos((7pi)/4)) ?

The value of arccos(cos((7pi)/4)) is pi/4

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arccos(cos((7pi)/4))

arccos (cos (\frac{7 π}{4}))

\frac{π}{4}

Decimal Notation

45

Solution steps

arccos (cos (\frac{7 π}{4}))

Use the inverse trig property:

\frac{π}{4}

arccos (cos (\frac{7 π}{4}))

For

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

Rewrite using trig identities:

cos (\frac{7 π}{4}) = cos (\frac{π}{4})

cos (\frac{7 π}{4})

cos (x) = cos (2 π - (x))

= cos (2 π - \frac{7 π}{4})

= cos (\frac{π}{4})

= arccos (cos (\frac{π}{4}))

0 \leq \frac{π}{4} \leq π

= \frac{π}{4}

= \frac{π}{4}

arcsin (0.1)

cos (arcsin (- \frac{1}{2}))

tan (1 4^{\circ})

arcsin (cos (\frac{π}{3}))

cos^{2} (4 0^{\circ})

What is the value of arccos(cos((7pi)/4)) ?
The value of arccos(cos((7pi)/4)) is pi/4