anonymous
  • anonymous
Evaluate: tan105deg using the sum and difference formulas. I
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
tan(a+b)=(tan a +tan b)/(1-tan a tan b)....put a =60 and b =45 and solve
anonymous
  • anonymous
where u got 60 and 45?
anonymous
  • anonymous
tan(60+45)=tan105...right

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anonymous
  • anonymous
can u do it nw
anonymous
  • anonymous
tan 60 =\[\sqrt{3}\] and tan 45 =1
anonymous
  • anonymous
i am getting stuck at the part where it is: |dw:1347964171044:dw|
anonymous
  • anonymous
so \[\tan105= (1+\sqrt{3})/(1-\sqrt{3}) \]
anonymous
  • anonymous
|dw:1347964267571:dw|
anonymous
  • anonymous
can u solve this now
anonymous
  • anonymous
wait. why did you square that?
anonymous
  • anonymous
|dw:1347965085424:dw|
anonymous
  • anonymous
arent you suppposed to mutliply it by the bottom one?
anonymous
  • anonymous
no it is rationalization u multiply num and den both by a coomon value so that the expression remains unaffected
anonymous
  • anonymous
so it is always the numerator?
anonymous
  • anonymous
no depends on what simplifies the root if 1-root 3 was there in numerator and 1+root 3 in den the you would multiply num and den by 1-root 3...since (1+root 3)(1-root3)=1-3...using a^2-b^2
anonymous
  • anonymous
how would you know which one to multiply by tho?
anonymous
  • anonymous
multiply with a value that would make denominator a rational one

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