anonymous
  • anonymous
If log_sinx(cosx)=1/2, and 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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hartnn
  • hartnn
lets apply the definition, \(\log_ab=c \implies b=a^c\) you knew this, right ?
hartnn
  • hartnn
what will log_sinx(cosx)=1/2 simplify to ?
anonymous
  • anonymous
Sinx^1/2=cosx?

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hartnn
  • hartnn
yup, now square both sides
anonymous
  • anonymous
Sinx= (cosx)^2
hartnn
  • hartnn
try to bring everything in sin x
hartnn
  • hartnn
how would u write cos^2 x in terms of sin x ?
anonymous
  • anonymous
cos( 2x) = 1 - sin^2( x)
hartnn
  • hartnn
you meant cos^2x = 1-sin^2 x then its correct :) so sin x = 1-sin^2 x can you now solve for sin x ? its just a quadratic
hartnn
  • hartnn
still here ? stuck or trying ?
anonymous
  • anonymous
Sin^2x+sinx -1=0 is this right?
hartnn
  • hartnn
yup. its like y^2 + y-1 =0 where y= sin x a simple quadratic equation, solve for y, you would have solved for sin x

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