化简 cos^2(arctan(x))

解答

化简

cos^{2} (arctan (x))

\frac{1}{x ^{2} + 1}

求解步骤

cos^{2} (arctan (x))

化简

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

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

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

1^{2} = 1

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

(x^{2} + 1)^{2} = x^{2} + 1

= \frac{1}{x ^{2} + 1}

s im pl i f y i^{257}

s im pl i f y \frac{75}{90}

f a c t or x^{3} + 9 x^{2} + 26 x + 24

s im pl i f y 15 0.16 c^{12}

s im pl i f y \frac{\frac{n - 15}{9 n}}{\frac{15 - n}{3 n ^{5}}}