展开 (2(cos(45^o))^2+3csc(37^o))/(2tan(45^o))

解答

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\frac{2 ( cos ( 4 5 ^{o} ) ) ^{2} + 3 csc ( 3 7 ^{o} )}{2 tan ( 4 5 ^{o} )}

\frac{cos ^{2} ( 4 5 ^{o} )}{tan ( 4 5 ^{o} )} + \frac{3 csc ( 3 7 ^{o} )}{2 tan ( 4 5 ^{o} )}

求解步骤

\frac{2 cos ^{2} ( 4 5 ^{o} ) + 3 csc ( 3 7 ^{o} )}{2 tan ( 4 5 ^{o} )}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2 cos ^{2} ( 4 5 ^{o} ) + 3 csc ( 3 7 ^{o} )}{2 tan ( 4 5 ^{o} )} = \frac{2 cos ^{2} ( 4 5 ^{o} )}{2 tan ( 4 5 ^{o} )} + \frac{3 csc ( 3 7 ^{o} )}{2 tan ( 4 5 ^{o} )}

= \frac{2 cos ^{2} ( 4 5 ^{o} )}{2 tan ( 4 5 ^{o} )} + \frac{3 csc ( 3 7 ^{o} )}{2 tan ( 4 5 ^{o} )}

数字相除:

\frac{2}{2} = 1

= \frac{cos ^{2} ( 4 5 ^{o} )}{tan ( 4 5 ^{o} )} + \frac{3 csc ( 3 7 ^{o} )}{2 tan ( 4 5 ^{o} )}

e x p an d \frac{( 1 - y )}{y}

e x p an d \frac{0.1598 ( z + 0.847 )}{( z - 1 ) ( z - 0.6065 )}

e x p an d \frac{x ( 0.65 + x )}{( 0.0464 - x ) ( 0.0722 - x )}

e x p an d \frac{( n ^{n} )}{( n + 1 ) ^{n + 1}}

e x p an d [(4 - 2 i) x] 2 i