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A003- Absolute : Abs(x^2 - 6*Abs(x) + 8) = 0.5
- How many real roots in this equation ?
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S46 - Altitude : Construct triangle using 3 given altitudes
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S13 - Amicable Number Pairs : Definition and examples
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A001- Amicable number pairs
* Example 1 : Prove that 220 and 284 are amicable number pairs
* Example 2 : Prove that 1184 and 1210 are amicable number pairs
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F321- Angle 30 degrees and 45 degrees
- 1. Find sin(30) without calculator
- 2. Find sin(45) without calculator
- 3. Find sin(60) without calculator
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F322- Angle (A+B) and (A-B)
- sin(A+B) = sin(A)*cos(B) + cos(A)*sin(B)
- sin(A-B) = sin(A)*cos(B) - cos(A)*sin(B)
- cos(A+B) = cos(A)*cos(B) - sin(A)*sin(B)
- cos(A-B) = cos(A)*cos(B) + sin(A)*sin(B)
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S58 - AP : sin(A) and cos(A) have AP term sin(x) and GP term sin(Y)
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S53 - Arcsine
- If Arcsin(sin(A)+sin(B)) + arcsin(sin(A)-sin(B)) = pi/2,
- find sin(A)^2 + sin(B)^2
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S26 - Area bounded by y = 1/(1 + x^2) and x-axis form x = 0 to x = 1
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S109- Area of triangle formed by medians of a triangle ABC
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S71 - Area of triangle
- Divide triangle ABC into four equal area triangles
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S72 - Area of triangle
- Triangle ABC has 4 triangle by joining point on sides
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S73 - Area of triangle
- Points E,F,T on sides.
- Area of triangle EFT = (area ABC)*(n^2 - 3*n + 3)/(n^2)
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S74 - Area of triangle
- Points E,F,T on sides. Area of triangle EFT = 7*(area ABC)/24
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S51 - Arrangement : An integer n is expressed as the sum of 3 integers
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S30 - Asymptotes of y = (x^3 + 1)/x
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S87 - Asymptote in parabola : y = x^2 + 1/x
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S98 - Asymptote in parabola : y = x^3 + 1/x
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S99 - Asymptote in parabola : y = x^2 - 1/x
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