Emmah847
Emmah847 Emmah847
  • 09-10-2021
  • Mathematics
contestada

Given that sin 2x = cos(2x - 30). Find the value of tan x.​

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Codesofcutebunnies
Codesofcutebunnies Codesofcutebunnies
  • 09-10-2021

Answer:

x=30o+n90on∈Z

Step-by-step explanation:

cos2x=sin(90o−2x)=sin(2x−30o)

Which mean 90o−2x=2x−30o+n360o

or 90o−2x+2x−30o=(2n+1)180o

The later cannot be true.

so x=30o+n90on∈Z

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DᴀʀᴋPᴀʀᴀᴅᴏx
DᴀʀᴋPᴀʀᴀᴅᴏx DᴀʀᴋPᴀʀᴀᴅᴏx
  • 09-10-2021

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

The value of tan x is :

  • [tex]\boxed{ \boxed{ \frac{1}{ \sqrt{3} } }}[/tex]

solution is in attachment !

Ver imagen DᴀʀᴋPᴀʀᴀᴅᴏx
Ver imagen DᴀʀᴋPᴀʀᴀᴅᴏx
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