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junior college 1 | H2 Maths
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4i :)
Date Posted: 5 years ago
Views: 633
Sin 45° = ( R - r ) / ( R + r )
1√2 = ( R - r ) / ( R + r )
Cross multiply,
(R + r) = √2 ( R - r )
R + r = √2 R - √2 r
( √2 - 1 ) R = ( √2 + 1 ) r
R = ( ( √2 + 1 ) / ( √2 - 1 ) ) r
Rationalise denominator.
R =((√2 + 1)/( √2 - 1 ) x ( √2 + 1 ) / ( √2 + 1) ) r
R = ( (√2 + 1)² / ( (√2)² - 1² ) ) r
R = ( (√2 + 1)² / 1 ) r
R = (√2 + 1)² r (shown)
1√2 = ( R - r ) / ( R + r )
Cross multiply,
(R + r) = √2 ( R - r )
R + r = √2 R - √2 r
( √2 - 1 ) R = ( √2 + 1 ) r
R = ( ( √2 + 1 ) / ( √2 - 1 ) ) r
Rationalise denominator.
R =((√2 + 1)/( √2 - 1 ) x ( √2 + 1 ) / ( √2 + 1) ) r
R = ( (√2 + 1)² / ( (√2)² - 1² ) ) r
R = ( (√2 + 1)² / 1 ) r
R = (√2 + 1)² r (shown)
How did you get the first line expression ?
Oh nvm I got it thanks :)
See 1 Answer
done
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clear
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The lines you drew are correct
Date Posted:
5 years ago
Thanks !
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