Descomposición de una fracción
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$$2 - \frac{\sin{\left(b \right)}}{2}$$
Simplificación general
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$$2 - \frac{\sin{\left(b \right)}}{2}$$
Unión de expresiones racionales
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$$\frac{4 - \sin{\left(b \right)}}{2}$$
$$2 - \frac{\sin{\left(b \right)}}{2}$$
$$2 - \frac{\sin{\left(b \right)}}{2}$$
I*b -I*b
e e
---- + ----- / -I*b I*b\
2 2 I*\- e + e /
------------ + ------------------
I*b -I*b 4
e e
---- + -----
4 4
$$\frac{i \left(e^{i b} - e^{- i b}\right)}{4} + \frac{\frac{e^{i b}}{2} + \frac{e^{- i b}}{2}}{\frac{e^{i b}}{4} + \frac{e^{- i b}}{4}}$$
(exp(i*b)/2 + exp(-i*b)/2)/(exp(i*b)/4 + exp(-i*b)/4) + i*(-exp(-i*b) + exp(i*b))/4
$$2 - \frac{\sin{\left(b \right)}}{2}$$
Parte trigonométrica
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1
2 - -------------
/ pi\
2*sec|b - --|
\ 2 /
$$2 - \frac{1}{2 \sec{\left(b - \frac{\pi}{2} \right)}}$$
/b\
tan|-|
\2/
2 - -----------
2/b\
1 + tan |-|
\2/
$$2 - \frac{\tan{\left(\frac{b}{2} \right)}}{\tan^{2}{\left(\frac{b}{2} \right)} + 1}$$
$$2 - \frac{\sin{\left(b \right)}}{2}$$
/b\
cot|-|
\2/
2 - -----------
2/b\
1 + cot |-|
\2/
$$2 - \frac{\cot{\left(\frac{b}{2} \right)}}{\cot^{2}{\left(\frac{b}{2} \right)} + 1}$$
$$2 - \frac{1}{2 \csc{\left(b \right)}}$$
/ pi\
cos|b - --|
\ 2 /
2 - -----------
2
$$2 - \frac{\cos{\left(b - \frac{\pi}{2} \right)}}{2}$$
Denominador racional
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4*cos(b) - cos(b)*sin(b)
------------------------
2*cos(b)
$$\frac{- \sin{\left(b \right)} \cos{\left(b \right)} + 4 \cos{\left(b \right)}}{2 \cos{\left(b \right)}}$$
(4*cos(b) - cos(b)*sin(b))/(2*cos(b))
Abrimos la expresión
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$$2 - \frac{\sin{\left(b \right)}}{2}$$
$$- \frac{\sin{\left(b \right)}}{2} + 2$$
Compilar la expresión
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$$2 - \frac{\sin{\left(b \right)}}{2}$$