What is ((sin^2(a)+sin(a)))/(sin^2(a)) ?

The solution to ((sin^2(a)+sin(a)))/(sin^2(a)) is (sin(a)+1)/(sin(a))

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simplify ((sin^2(a)+sin(a)))/(sin^2(a))

simplify

\frac{( sin ^{2} ( a ) + sin ( a ) )}{sin ^{2} ( a )}

\frac{sin ( a ) + 1}{sin ( a )}

Solution steps

\frac{sin ^{2} ( a ) + sin ( a )}{sin ^{2} ( a )}

Factor out common term

sin (a) : sin (a) (sin (a) + 1)

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

sin^{2} (a) = sin (a) sin (a)

= \frac{sin ( a ) ( sin ( a ) + 1 )}{sin ( a ) sin ( a )}

Cancel the common factor:

sin (a)

= \frac{sin ( a ) + 1}{sin ( a )}

x + y (2 x - y)

a^{2} - 5 b^{2} + (- c)^{2}

(\frac{5}{2 \cdot x + 1})^{3}

\frac{( 4 ( x + 1 ) )}{7} + \frac{( x + 3 )}{7} - \frac{( 2 ( x + 5 ) )}{7}

\frac{( 2 x ^{2} + 13 x + 6 )}{( 2 x + 1 )}

What is ((sin^2(a)+sin(a)))/(sin^2(a)) ?
The solution to ((sin^2(a)+sin(a)))/(sin^2(a)) is (sin(a)+1)/(sin(a))