pythagoras123
  • pythagoras123
In a triangle ABC, the ratios of the sides are such that a:b:c = 2:3:4. Calculate the value of cos C and hence find the value of sin C.
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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triciaal
  • triciaal
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triciaal
  • triciaal
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pythagoras123
  • pythagoras123
uh could you show how you calculate sin C using the above formulas

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pythagoras123
  • pythagoras123
@triciaal
triciaal
  • triciaal
given only the 3 sides of the triangle first use the cosine rule to find the largest angle ( the one opposite the longest side) then you can use the sine rule to find the other 2 angles. Here we only need to find the sin of c we already calculated C you just use the calculator to find sin C.
pythagoras123
  • pythagoras123
oh my question requires it to be in exact form
pythagoras123
  • pythagoras123
is there a way to find sin C without the calculator
triciaal
  • triciaal
@jim_thompson5910 @ganeshie8 can we use the ratio of the sides of the triangle as the lengths of each side?
triciaal
  • triciaal
@pythagoras123 use the Sin rule above
triciaal
  • triciaal
@Nnesha @zepdrix what would be the lengths of the sides for this triangle?
pythagoras123
  • pythagoras123
@triciaal we don't know any of the values for sin A, sin B or sin C
triciaal
  • triciaal
not until after we find the largest angle. you need to read the responses more carefully.
triciaal
  • triciaal
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triciaal
  • triciaal
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pythagoras123
  • pythagoras123
I get that but how do we use the value of cos C to find the value of sin C without solving for the angle C itself?
triciaal
  • triciaal
think about your username any ideas?
pythagoras123
  • pythagoras123
oh I get it now lol thx
triciaal
  • triciaal
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pythagoras123
  • pythagoras123
so with just the ratios of the sides given, we can find the trig ratio?
triciaal
  • triciaal
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pythagoras123
  • pythagoras123
ok thx for your help :)
triciaal
  • triciaal
cosine rule C is the largest angle
triciaal
  • triciaal
you are welcome
triciaal
  • triciaal
@zepdrix thanks

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