Sin^2 x=1-sinx, cos^4 x+cos^2 x=
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Heya
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Sin² x = 1 - Cos² x
=>
1 - Cos² x = 1 - Sin x
=>
Cos² x = Sin x .... Equation ( i )
SQUARING BOTH SIDE'S
Cos⁴ x = Sin²x ..... Equation ( ii )
Add Equation i and ii
Cos⁴ x + Cos ² x = Sin² x + Sin x
_______________________________
Sin² x = 1 - Cos² x
=>
1 - Cos² x = 1 - Sin x
=>
Cos² x = Sin x .... Equation ( i )
SQUARING BOTH SIDE'S
Cos⁴ x = Sin²x ..... Equation ( ii )
Add Equation i and ii
Cos⁴ x + Cos ² x = Sin² x + Sin x
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