Trigonometry Ka question
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_____________________________
L.H.S
Cos x { Cosec x -1 } +Cos x { Cosec x + 1}
_____________________________
Cosec² x - 1²
=>
Cosecx × Cosx - Cosx + Cosx × Cosec x +Cosx
____________________________
Cosec² x - 1
=>
2 Cosecx × Cosx
___________
( Cot² x )
=>
2Cosx × Cosecx
____________
Cot² x
=>
2 Cotx
______
Cot²x
=>
2 Tan x
where X is = theta
______________________________
Formula used
1 + Cot² x = Cosec² x
_____________________________
L.H.S
Cos x { Cosec x -1 } +Cos x { Cosec x + 1}
_____________________________
Cosec² x - 1²
=>
Cosecx × Cosx - Cosx + Cosx × Cosec x +Cosx
____________________________
Cosec² x - 1
=>
2 Cosecx × Cosx
___________
( Cot² x )
=>
2Cosx × Cosecx
____________
Cot² x
=>
2 Cotx
______
Cot²x
=>
2 Tan x
where X is = theta
______________________________
Formula used
1 + Cot² x = Cosec² x
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1
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