✴Plz solve it
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Anonymous:
Here, i use x instead of theta..
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_______________________________
L.H.S
{Cosx × Cos x}+ { 1 - Sin x }²
___________________
Cos x × { 1 - Sin x }
=>
Cos²x + Sin²x + 1 -2Sinx
____________________
Cos x { 1 - Sin x }
=>
{ 1 + 1 - 2Sin x }
___________
Cos x { 1 - Sin x }
=>
2 { 1 - Sin x }
__________
Cos x × { 1 - Sin x }
=>
2/Cos x
2 Sec x ,. Hence proved.
where x = theta.
L.H.S
{Cosx × Cos x}+ { 1 - Sin x }²
___________________
Cos x × { 1 - Sin x }
=>
Cos²x + Sin²x + 1 -2Sinx
____________________
Cos x { 1 - Sin x }
=>
{ 1 + 1 - 2Sin x }
___________
Cos x { 1 - Sin x }
=>
2 { 1 - Sin x }
__________
Cos x × { 1 - Sin x }
=>
2/Cos x
2 Sec x ,. Hence proved.
where x = theta.
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