chase1posey410
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  • 18-09-2021
  • Mathematics
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Simplify the expression using trigonometric identities:

Simplify the expression using trigonometric identities class=

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lynnkc2000 lynnkc2000
  • 18-09-2021

Answer

D. 2 sinx / (1-cos x)

Step-by-step explanation:

[tex]\frac{sec x*sin(-x)+tan (-x)}{1+sec(-x)} \\=\frac{\frac{1}{cos x}*(-sin x)-\frac{sin x}{cos x} }{1-\frac{1}{cos x} }\\=\frac{-sin x-sin x}{cos x -1} \\=\frac{-2sin x}{cos x -1} \\=\frac{2sin x}{1-cos x}[/tex]

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