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Solve the Equation for Theta : sec(theta)-1=(root2 - 1)tan(theta) Answer Given is 2npi and 2npi + pi/4. Please give detailed steps if possible. (Best Answers will be Approved) Thanks a Lot !!

Solve the Equation for Theta :

sec(theta)-1=(root2 - 1)tan(theta)



Answer Given is 2npi and 2npi + pi/4.

Please give detailed steps if possible. (Best Answers will be Approved)

Thanks a Lot !!

Grade:11

2 Answers

Aman Bansal
592 Points
11 years ago

Dear Ashray,

 ( 1 -  COS X ) / COS X = ( ROOT 2 -1 ) SIN X / ( COS X)

( 1 - COS X) / SIN X = ROOT 2 -1 

 

SQUARING BOTH SIDES

 

(1-COS X) ^ 2 / [ (1+COS X ) * (1-COS X) ] = 3 - 2 ROOT 2

 

(1-COSX)/1+COSX = 3 -2ROOT 2

 1-COSX = 3 - 2ROOT2 +3COSX -2ROOT2 COS X

2ROOT2 - 2 = COS X * ( 4 - 2 ROOT2 )

COS X = ( ROOT 2 - 1) / ( 2 - ROOT 2) 

              =1/ROOT 2

>>>> X= PI/4

Best Of luck

Plz Approve the answer...!!!!

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Aman Bansal

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Mayank Jain
37 Points
11 years ago

Thanks A Lot !!

Really Liked Your Answer !!

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