Difference between revisions of "Manuals/calci/COT"

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<div style="font-size:30px">'''COT(x)'''</div><br/>
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=Demo Study Page=
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* where '''x''' is in Radians
 
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* by default Calci use Radian as angle
 
  
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[[Manuals/calci/DCOTAN | DCOTAN]] can be used if the angle is in degrees.  
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* Where x is the number and it is varying from -1 to 1.
 +
* The value of ASIN(x) is in radians in the range -pi()/2 to pi()/2.
 +
* Calci returns the value of arcsine (inverse sine)is in Radians.
 +
*The number can be a single value or any number of values.
  
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The angle can be a single value or any complex array of values.
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For example, ASIN(0.5,(-0.2),1) gives the arcsine or inversesine values for each element.
  
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For example COTAN(1..100) can give an array of the results, which is the COTANGENT value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@COTAN or (-5)..(-1)@COTAN.
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== Description ==
  
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Consider x = (-0.8) then, ASIN((-0.8))'' is -0.9273
 +
*This function is the Inverse function of Sin in trigonometry.
 +
*It's also called as Cyclometric function.
 +
*ASIN is described as Arcsin of a given number and denoted by <math>sin^{-1}</math>(x).
 +
*In ASIN(x) ,x value should be with in -1 & 1.
 +
*To find the angle in degrees, multiply the result angle with 180/PI().
 +
*DEGREES function can also be used.
  
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==Description==
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For example ASIN(-0.8)*180/PI() or DEGREES(ASIN(-0.8))'' gives -53.13010235415598
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Consider &nbsp;&nbsp;&nbsp; '''x = 90'''&nbsp;&nbsp;&nbsp;  then &nbsp;&nbsp;&nbsp;  '''=COTAN(RADIANS(90))'''&nbsp;&nbsp;&nbsp; gives &nbsp;&nbsp;&nbsp;'''6.123031769111886e-17'''  that is approximate to '''0''' <br/>
 
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The above function gives the Cotangent of 'x' in Degree.<br/>
 
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*Cotan function gives the Cotangent of angle 'x'.
 
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*This function is the reciprocal of TAN function. i.e, '''Cotan(x) = 1 / Tan(x)'''.
 
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*In a right angled triangle, '''COTAN = Adjacent/Opposite''' or '''COS / SIN'''.<br/>
 
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*By default, Calci takes the angle in Radians.
 
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*To convert Radians to Degrees  multiply with 180/PI() or we have to use the Radians function COTAN(RADIANS(x)) or DCOTAN(x).<br/>
 
  
 +
== Examples ==
 +
'''ASIN(x)'''
 +
*'''x  ''' is the Number.
 +
{| id="TABLE3" class="SpreadSheet blue"
 +
|- class="even"
 +
|'''ASIN(number)'''
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|'''Angle(Radian)  '''
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|- class="odd"
 +
| class="sshl_f " | ASIN(-0.8)
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| class="sshl_f" | -0.9273
  
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The following example shows how TAN is applied to an array of numbers containing angles 1..10.
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|- class="even"
 +
| class="sshl_f" | ASIN(1)
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| class="ssh1_f" | 1.5707963267948965
  
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1..10@TAN
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|- class="odd"
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| class="sshl_f " | ASIN(0.559)
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| class="sshl_f" | 0.5931792803038736
  
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{| class="wikitable"
 
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|-
 
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! Angles !! TAN
 
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|-
 
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| 1 || 1.55740772465
 
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|-
 
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| 2 || -2.18503986326
 
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|-
 
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| 3 || -0.14254654307
 
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|-
 
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| 4 || 1.15782128235
 
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|-
 
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| 5 ||-3.38051500625
 
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|-
 
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| 6 || -0.29100619138
 
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|-
 
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| 7 || 0.87144798272
 
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|-
 
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| 8 || -6.79971145522
 
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|-
 
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| 9 || -0.45231565944
 
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|-
 
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| 10 || 0.64836082745
 
 
|}
 
|}
  
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== Examples ==
 
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'''TAN(x)'''
 
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*'''x  ''' is the angle in radians.
 
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{|id="TABLE1" class="SpreadSheet blue"
 
  
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{| id="TABLE3" class="SpreadSheet blue"
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|- class="even"
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| Complex(RN,IN,SF)
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! RN
 +
! IN
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! SF
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! RESULT
 +
|-
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|- class="odd"
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|Complex(5,6)
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|5
 +
|6
 +
|
 +
|5+6i
 
|- class="even"
 
|- class="even"
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|'''TAN(Radian)'''
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|Complex(5,2,"j")
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|'''Value'''
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|5
−
 
+
|2
 +
|j
 +
|5+6j
 
|- class="odd"
 
|- class="odd"
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| TAN(0)
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| Complex(2,0,"i")
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| 0
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|2                                     
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|0
 +
|i
 +
|2
 
|- class="even"
 
|- class="even"
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| TAN(1)
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| Complex(0,-4,i)
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| 1.55740772465
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|0
−
 
+
|4
 +
|i
 +
|4i
 
|- class="odd"
 
|- class="odd"
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|TAN(90)
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|Complex(5,"j")
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| -1.99520041221
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|5
 +
|
 +
|j
 +
|Error
 +
|}
  
 +
{|id="TABLE3" class="SpreadSheet blue"
 +
!width="50"|Name
 +
!width="225"|Effect
 +
!width="225"|Games Found In
 +
|-
 +
|Poké Ball || Regular Poké Ball || All Versions
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|-
 +
|Great Ball || Better than a Poké Ball || All Versions
 
|}
 
|}
  
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<math>\tilde{} </math>
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==See Also==
 
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*[[Manuals/calci/DTAN | DTAN]]
 
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*[[Manuals/calci/ATAN | ATAN]]
 
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==References==
 
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*[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions]
 
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*[http://en.wikipedia.org/wiki/Sine TAN]
 

Latest revision as of 05:34, 11 November 2013

Demo Study Page

  • Where x is the number and it is varying from -1 to 1.
  • The value of ASIN(x) is in radians in the range -pi()/2 to pi()/2.
  • Calci returns the value of arcsine (inverse sine)is in Radians.
  • The number can be a single value or any number of values.

For example, ASIN(0.5,(-0.2),1) gives the arcsine or inversesine values for each element.

Description

Consider x = (-0.8) then, ASIN((-0.8)) is -0.9273

  • This function is the Inverse function of Sin in trigonometry.
  • It's also called as Cyclometric function.
  • ASIN is described as Arcsin of a given number and denoted by (x).
  • In ASIN(x) ,x value should be with in -1 & 1.
  • To find the angle in degrees, multiply the result angle with 180/PI().
  • DEGREES function can also be used.

For example ASIN(-0.8)*180/PI() or DEGREES(ASIN(-0.8)) gives -53.13010235415598

Examples

ASIN(x)

  • x is the Number.
ASIN(number) Angle(Radian)
ASIN(-0.8) -0.9273
ASIN(1) 1.5707963267948965
ASIN(0.559) 0.5931792803038736


Complex(RN,IN,SF) RN IN SF RESULT
Complex(5,6) 5 6 5+6i
Complex(5,2,"j") 5 2 j 5+6j
Complex(2,0,"i") 2 0 i 2
Complex(0,-4,i) 0 4 i 4i
Complex(5,"j") 5 j Error
Name Effect Games Found In
Poké Ball Regular Poké Ball All Versions
Great Ball Better than a Poké Ball All Versions

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