What is the value of cos(52.5) ?

The value of cos(52.5) is (sqrt(2)sqrt(4+\sqrt{2)(1-sqrt(3))})/4

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cos(52.5)

cos (52. 5^{\circ})

\frac{2 4 + 2 ( 1 - 3 )}{4}

Solution steps

cos (52. 5^{\circ})

Rewrite using trig identities:

\frac{1 + cos ( 10 5 ^{\circ} )}{2}

= \frac{1 + cos ( 10 5 ^{\circ} )}{2}

Rewrite using trig identities:

cos (10 5^{\circ}) = \frac{2 ( 1 - 3 )}{4}

= \frac{1 + \frac{2 ( 1 - 3 )}{4}}{2}

Simplify

\frac{1 + \frac{2 ( 1 - 3 )}{4}}{2} : \frac{2 4 + 2 ( 1 - 3 )}{4}

= \frac{2 4 + 2 ( 1 - 3 )}{4}

arctan (\frac{7.1}{5})

8 sin (\frac{π}{6})

csc (0.5)

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

arcsin (\frac{4.6}{9.1})

What is the value of cos(52.5) ?
The value of cos(52.5) is (sqrt(2)sqrt(4+\sqrt{2)(1-sqrt(3))})/4