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  • 14-09-2019
  • Mathematics
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Simplify: (sin x)/(1+cot^2 x)

Respuesta :

jimrgrant1 jimrgrant1
  • 14-09-2019

Answer:

sin³x

Step-by-step explanation:

Using the trigonometric identities

1 + cot²x = csc²x

cscx = [tex]\frac{1}{sinx}[/tex]

Given

[tex]\frac{sinx}{1+cot^2x}[/tex]

= [tex]\frac{sinx}{csc^2x}[/tex]

= [tex]\frac{sinx}{\frac{1}{sin^2x} }[/tex]

= sinx × sin²x

= sin³x

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