化简 1-cos^2(a)+(sin(a))/(sin^2(a))+cos(a)

解答

化简

1 - cos^{2} (a) + \frac{sin ( a )}{sin ^{2} ( a )} + cos (a)

sin^{2} (a) + cos (a) + csc (a)

求解步骤

1 - cos^{2} (a) + \frac{sin ( a )}{sin ^{2} ( a )} + cos (a)

消掉

\frac{sin ( a )}{sin ^{2} ( a )} : csc (a)

= 1 - cos^{2} (a) + csc (a) + cos (a)

使用毕达哥拉斯恒等式:

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

1 - cos^{2} (x) = sin^{2} (x)

= sin^{2} (a) + cos (a) + csc (a)

s im pl i f y (\frac{2 - 1}{x ^{2}})^{8}

s im pl i f y \frac{2}{3 \cdot 108 y ^{3}}

s im pl i f y \frac{( ( 3 x ^{2} ) ^{3} \cdot ( 3 y ) )}{( ( 3 x ) ^{3} \cdot ( 3 x ) ^{2} )}

e x p an d f (x + 4)

s im pl i f y \frac{3}{8} \cdot \frac{x}{( \frac{100}{1} )}