kasilik kasilik
  • 10-12-2018
  • Mathematics
contestada

1/sec x (tan x + cot x ) =
Options in picture!
PLEASE EXPLAIN !

1sec x tan x cot x Options in picture PLEASE EXPLAIN class=

Respuesta :

jimrgrant1 jimrgrant1
  • 10-12-2018

Answer:

B

Step-by-step explanation:

using the trigonometric identities

• cos x = [tex]\frac{1}{secx}[/tex], sin x = [tex]\frac{1}{cscx}[/tex]

• tan x = [tex]\frac{sinx}{cosx}[/tex], cot x = [tex]\frac{cosx}{sinx}[/tex]

the expression can be rewritten as

cos x([tex]\frac{sinx}{cosx}[/tex] + [tex]\frac{cosx}{sinx}[/tex])

distributing gives

sin x + [tex]\frac{cos^2x}{sinx}[/tex] ( expressing as a single fraction )

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


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