plz solve this question.....
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brainliest please
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Heya!!
let
x = theta
we know that
Cos 2x = 2 Cos² x - 1 .... Equation ( i )
=>
2 Cos x = ( x +1/x ) { Given }
SQUARING BOTH SIDE'S WE GET
4 Cos² x = x² + 1/x² + 2(x)×(1/x )
Becoz ( a + b )² = a² + b² + 2ab
=>
4 Cos² x = x² + 1/x² + 2
=>
2 Cos² x = 1/2 { x² + 1/x² + 2 }
Now, put this value of 2 Cos² x in Equation ( i ) we get
Cos 2x = 1/2 { x² + 1/x² + 2 } -1
=>
Cos 2x = 1/2 { x² + 1/x² } + 0
=>
Cos² 2x = 1/2 { x² + 1/x² }
let
x = theta
we know that
Cos 2x = 2 Cos² x - 1 .... Equation ( i )
=>
2 Cos x = ( x +1/x ) { Given }
SQUARING BOTH SIDE'S WE GET
4 Cos² x = x² + 1/x² + 2(x)×(1/x )
Becoz ( a + b )² = a² + b² + 2ab
=>
4 Cos² x = x² + 1/x² + 2
=>
2 Cos² x = 1/2 { x² + 1/x² + 2 }
Now, put this value of 2 Cos² x in Equation ( i ) we get
Cos 2x = 1/2 { x² + 1/x² + 2 } -1
=>
Cos 2x = 1/2 { x² + 1/x² } + 0
=>
Cos² 2x = 1/2 { x² + 1/x² }
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