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Heya
______________________________
put Sin² ( theta ) = x² And Cos² ( theta ) = y²
Cosec² (Theta ) = 1/x²
Sec² ( theta ) = 1/y²
=>
1/( 1+x² ) + 1/( 1 + y² ) + 1/( 1 + 1/x² )
+ 1/( 1 + 1/y² )
=>
{(x² + 1 )/(1 + x² ) } + {( 1 + y² )/ ( 1 + y² ) }
=>
1 + 1
= 2
Hence proved.
______________________________
put Sin² ( theta ) = x² And Cos² ( theta ) = y²
Cosec² (Theta ) = 1/x²
Sec² ( theta ) = 1/y²
=>
1/( 1+x² ) + 1/( 1 + y² ) + 1/( 1 + 1/x² )
+ 1/( 1 + 1/y² )
=>
{(x² + 1 )/(1 + x² ) } + {( 1 + y² )/ ( 1 + y² ) }
=>
1 + 1
= 2
Hence proved.
pajju203:
thank you very much it is so easy method
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The answer is provided in the atrachment.
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