Math, asked by MysticalShadow, 1 year ago

Answer the following question please! Quick!
I would be extremely grateful!

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Kimmus: Do u need its calculation?
Kimmus: Or just answer?
MysticalShadow: Calculation
MysticalShadow: Just answer is of no use to me..If u could help me..Thanks
MysticalShadow: Can someone answer this too - http://brainly.in/question/357261
Kimmus: R u satisfied with my answer?
MysticalShadow: Yeps! Thanks (devika didi!)

Answers

Answered by Anonymous
5
⇒ tan26° + tan19° / x(1-tan26°tan19°) = cos60° ⇒ tan(26°+19°) = x × 1/2 = tan45° = x/2 ⇒x = 2

MysticalShadow: I didn't understand
MysticalShadow: (1-tan26°tan19°) = 1..How ?
MysticalShadow: I dont know much about this topic..That's why
MysticalShadow: Sorrry
MysticalShadow: I couldn't solve this easy problem ?!
MysticalShadow: I saw :P
Answered by Kimmus
3
(Tan 26 + Tan 19) / x (1 - tan 26 × tan 19 ) = Cos 60

Tan 26 + Tan 19 = Cos 60 · x (Tan 26 + Tan 19 )

  Tan 26 + Tan 19 
--------------------------    = x · Cos 60 ------------------------------(1)
1 - (tan 26 × tan 19 ) 

---------------------------------------------
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we know,

Tan(A+B) = ( TanA + TanB ) 
÷ (1- TanA·TanB )

∴              Tan 26 + Tan 19 
             --------------------------    = Tan ( 26 + 19 )
              1 - (tan 26 × tan 19 ) 
                                                = Tan 45
                                                =  1//
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Substituting it in (1)
         
         1  = x · Cos 60
         1 = x · 1/2
         x = 2 //
                         
                         Value of X = 2


                                            
                                  


Kimmus: Hope it helps ^_^...... Any doubts regarding this question persists, Kindly ask it to me. Thank you (:
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