anonymous
  • anonymous
Find the value of Sin(2sin-1(o.8))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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AravindG
  • AravindG
0.8 is same as 8/10=4/5 Hence sin-1 (o.8) will be sin-1 (4/5) =53 degree appprox
AravindG
  • AravindG
2sin-1(4/5)=53*2
AravindG
  • AravindG
So your question reduces to sin(53*2)=....

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anonymous
  • anonymous
How did you get 53*2 ?
AravindG
  • AravindG
sin-1 (4/5) =53 2sin-1 (4/5) =2*53
anonymous
  • anonymous
Am sorry but I dont understand. How did you get 53 in the first place ?
AravindG
  • AravindG
Its elementary right triangle. The values are knowledge based.If you don't know that then use a calculator.
anonymous
  • anonymous
Actually is there any other method ? we're not supposed to use calculators.
AravindG
  • AravindG
okay use the elementary triangle
AravindG
  • AravindG
|dw:1370583938168:dw| This is knowledge based data.You should keep this triangle in your mind.
anonymous
  • anonymous
since \(\ sin^{-1}(0.8) \) is some angle, let \(\ \alpha = sin^{-1}(0.8) \) so we have: \(\ Sin(2 \cdot sin^{-1}(0.8))=Sin(2 \cdot \alpha) \) using the double angle formula, we have: \(\ Sin(2 \cdot \alpha)=2 \cdot Sin\alpha \cdot Cos \alpha \) now since alpha is the sine is 0.8, it's cosine must be 0.6 (look at the right triangle given by arvind above).. in other words, \(\ Sin \alpha = 0.8 \) and \(\ Cos \alpha = 0.6 \) i'm sure you can take it from here....
anonymous
  • anonymous
Thankyou both :)

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