What is the value of arctan((tan(33))/(1.25)) ?

The value of arctan((tan(33))/(1.25)) is 0.47914…

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arctan((tan(33))/(1.25))

arctan (\frac{tan ( 3 3 ^{\circ} )}{1.25})

0.47914 \dots

Solution steps

arctan (\frac{tan ( 3 3 ^{\circ} )}{1.25})

Refine to a decimal form

= 0.47914 \dots

1 - cos^{2} (12 0^{\circ}) - cos^{2} (6 0^{\circ})

\frac{1}{4} (- cos (1 6^{\circ}) + 1)

cos (\frac{2 π}{5}) cos (\frac{π}{15}) + sin (\frac{2 π}{5}) sin (\frac{π}{15})

12 sin (18 0^{\circ})

arctan (\frac{11}{16})

What is the value of arctan((tan(33))/(1.25)) ?
The value of arctan((tan(33))/(1.25)) is 0.47914…