El profesor se sorprenderá mucho al ver tu solución correcta😉
___ ___ _______ \/ a *cos(x) - 2*sin(x) = \/ 2 + \/ 2 - a
suma
/ / _____________________\\ / / _____________________\\ / / _____________________\\ / / _____________________\\ | | ___ / ___ _______ || | | ___ / ___ _______ || | | ___ / ___ _______ || | | ___ / ___ _______ || | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || 2*re|atan|-----------------------------------|| + 2*I*im|atan|-----------------------------------|| + - 2*re|atan|----------------------------------|| - 2*I*im|atan|----------------------------------|| | | ___ ___ _______ || | | ___ ___ _______ || | | ___ ___ _______ || | | ___ ___ _______ || \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a //
=
/ / _____________________\\ / / _____________________\\ / / _____________________\\ / / _____________________\\ | | ___ / ___ _______ || | | ___ / ___ _______ || | | ___ / ___ _______ || | | ___ / ___ _______ || | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || - 2*re|atan|----------------------------------|| + 2*re|atan|-----------------------------------|| - 2*I*im|atan|----------------------------------|| + 2*I*im|atan|-----------------------------------|| | | ___ ___ _______ || | | ___ ___ _______ || | | ___ ___ _______ || | | ___ ___ _______ || \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a //
producto
/ / / _____________________\\ / / _____________________\\\ / / / _____________________\\ / / _____________________\\\ | | | ___ / ___ _______ || | | ___ / ___ _______ ||| | | | ___ / ___ _______ || | | ___ / ___ _______ ||| | | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a ||| | | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a ||| |2*re|atan|-----------------------------------|| + 2*I*im|atan|-----------------------------------|||*|- 2*re|atan|----------------------------------|| - 2*I*im|atan|----------------------------------||| | | | ___ ___ _______ || | | ___ ___ _______ ||| | | | ___ ___ _______ || | | ___ ___ _______ ||| \ \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a /// \ \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a ///
=
/ / / _____________________\\ / / _____________________\\\ / / / _____________________\\ / / _____________________\\\ | | | ___ / ___ _______ || | | ___ / ___ _______ ||| | | | ___ / ___ _______ || | | ___ / ___ _______ ||| | | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a ||| | | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a ||| -4*|I*im|atan|-----------------------------------|| + re|atan|-----------------------------------|||*|I*im|atan|----------------------------------|| + re|atan|----------------------------------||| | | | ___ ___ _______ || | | ___ ___ _______ ||| | | | ___ ___ _______ || | | ___ ___ _______ ||| \ \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a /// \ \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a ///
-4*(i*im(atan((-2 + sqrt(2)*sqrt(a - sqrt(2)*sqrt(2 - a)))/(sqrt(2) + sqrt(a) + sqrt(2 - a)))) + re(atan((-2 + sqrt(2)*sqrt(a - sqrt(2)*sqrt(2 - a)))/(sqrt(2) + sqrt(a) + sqrt(2 - a)))))*(i*im(atan((2 + sqrt(2)*sqrt(a - sqrt(2)*sqrt(2 - a)))/(sqrt(2) + sqrt(a) + sqrt(2 - a)))) + re(atan((2 + sqrt(2)*sqrt(a - sqrt(2)*sqrt(2 - a)))/(sqrt(2) + sqrt(a) + sqrt(2 - a)))))
/ / _____________________\\ / / _____________________\\ | | ___ / ___ _______ || | | ___ / ___ _______ || | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |-2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || x1 = 2*re|atan|-----------------------------------|| + 2*I*im|atan|-----------------------------------|| | | ___ ___ _______ || | | ___ ___ _______ || \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a //
/ / _____________________\\ / / _____________________\\ | | ___ / ___ _______ || | | ___ / ___ _______ || | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || | |2 + \/ 2 *\/ a - \/ 2 *\/ 2 - a || x2 = - 2*re|atan|----------------------------------|| - 2*I*im|atan|----------------------------------|| | | ___ ___ _______ || | | ___ ___ _______ || \ \ \/ 2 + \/ a + \/ 2 - a // \ \ \/ 2 + \/ a + \/ 2 - a //
x2 = -2*re(atan((sqrt(2)*sqrt(a - sqrt(2)*sqrt(2 - a)) + 2)/(sqrt(a) + sqrt(2 - a) + sqrt(2)))) - 2*i*im(atan((sqrt(2)*sqrt(a - sqrt(2)*sqrt(2 - a)) + 2)/(sqrt(a) + sqrt(2 - a) + sqrt(2))))