Question

Simplificar:
C = csc⁴x - cot⁴x - 2csc²x​

Answer 1

Respuesta:  

          -1

Explicación paso a paso:

C = csc⁴x - cot⁴x - 2csc²x​

$csc^{2} x = ctg^{2} x + 1$

$C = ( csc^{2} x + ctg^{2} )( csc^{2} -ctg^{2} x ) - 2 csc^{2}x$

$C = [ ctg^{2} + 1 + ctg^{2} x ] [ ctg^{2} + 1 - ctg^{2}x ] - 2 ( ctg^{2} x + 1 )$

$C = ( 2 ctg^{2}x + 1 ) ( 1 ) - 2 ctg^{2} x - 2 = 2 ctg^{2}x + 1 - 2ctg^{2} - 2$

$C = 1 - 2 = -1$

C = - 1