Updated! [Calculus] Updated!
Updated! [Puzzle] Updated!
* Sin approximation Between 1 to 34(degree)
1.Sin(30)=0.5
Sin (30)
Step 1:Take the Angle that you are looking for.
Step 2:Here we have 30 degree, label as X (30=X)
Use this formula,
Sin (X)= X/60
or
(5X/3) and then divide that answer by 100.
Step 3:
Sin 30=(30/60)
=0.5
Now,
Sin (25)
= (25/60)
=0.42
Sin (20)
=(20/60)
=0.33
* Some quick Calculation
(36)2 = 1296
Using algebra we can calculate little bit fast:
(35+1)2
= (35)2+2(35)(1)+(1)2
= (1225)+(70)+(1)
=1296
(48)2
=(50-2)2
=(50)2-2(50)(2)+(2)2
=(2500)-200+4
=2304
(67)2
=(70-3)2
=(70)2-3(70)(3)+(3)2
=4900-420+9
=4489
11*99 =1089
To calculate use this short cut method:
11*99
Step 1: subtract 1 from the number besides 99
11-1=10
Step 2: Then subtract number besides 99 from the 100.
100-11=89
Step 3: Combine Step 1 and Step 2:
1089
58*99
58-1=57
100-58=42
Answer: 5742
87*99
87-1=86
100-87=13
Answer: 8713
325*5=1625
495*5=2475
To calculate use this short cut method:
Step 1: Separate the digits from the last digit 5.
325= 32(separated) 5
495= 49(Separated) 5
Step 2: If the separated number is even(32), simply divide by 2.(32/2)=16
32/2 =16
If the separated number is odd(49), subtract 1 from separated number(49-1)=48
and then divide by 2. (48/2)=24
Step 3: If the separated number is even, just put "25" after divided number.
1625
If the separated number is odd, just put "75" after divided number.
2475
745*5
74 is even
(74/2)=37
Put 25(Because 74 is "Even") after 37
Answer: 3725
655*5
65 is odd
(65-1)/2=32
Put 75(Because 65 is "Odd") after32
Answer:3275
15745*5
1574 is even
(1574)/2=787
Since 1574 is "Even"
Answer is 78725
17855*5
1785 is odd
(1785-1)=1784 then (1784/2)=892
Since 1785 is "Odd"
Answer is 89275.
* Exercise
#1
Sin 12
Sin 04
Sin 29
Sin 18
Sin 33
#2
(28)2
(74)2
(98)2
(47)2
(39)2
#3
525*5
4301*5
688*5
225*5
1085*5
* Check the Answer in your calculator.
E-mail: b2patel@hotmail.com
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