Question

reduce c=sen2x.secx+cscx

Answer 1

Respuesta:

\begin{gathered}{(\sec x-\cos x)\csc x=}\\\\{\left(\frac{1}{\cos x}-\cos x\right)\csc x=}\\\\{\left(\frac{1-\cos^2x}{\cos x}\right)\csc x=}\\\\{\dfrac{\sin^2x}{\cos x}.\dfrac{1}{\sin x}=}\\\\\\{\dfrac{\sin x}{\cos x}=}\\\\\\{\boxed{\tan x}}\end{gathered}

(secx−cosx)cscx=

(

cosx

1

−cosx)cscx=

(

cosx

1−cos

2

x

)cscx=

cosx

sin

2

x

.

sinx

1

=

cosx

sinx

=

tanx