Question

Calcule: senx.cosx
Si: a/senx = b/cosx

Answer 1

Respuesta:

ab/(a² + b²)

Explicación paso a paso:

*se sabe:

senx²  +  cosx²  = 1

*Del problema

a/senx = b/cosx

a/b = senx /cosx

senx /cosx = ak/bk

entonces:

senx=ak   y  cosx =bk

ahora

(ak)² +(bk)² = 1

(a²)(k²) +(b²)(k²) = 1

k² (a² + b²) = 1

k² =1/(a² + b²)

*pide:

=senx.cosx

=(ak)(bk)

=abk²

=ab/(a² + b²)