simplify cos(arctan(D/C))

الحلّ

simplify

cos (arctan (\frac{D}{C}))

\frac{C C ^{2} + D ^{2}}{C ^{2} + D ^{2}}

خطوات الحلّ

cos (arctan (\frac{D}{C}))

cos (arctan (x)) = \frac{1 + x ^{2}}{1 + x ^{2}} :

استخدم المتطابقة التالية

= \frac{1 + ( \frac{D}{C} ) ^{2}}{1 + ( \frac{D}{C} ) ^{2}}

بسّط

= \frac{C C ^{2} + D ^{2}}{C ^{2} + D ^{2}}

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