differentiat the following with respect to x
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xyz3612:
what is star in ur answer
in starting
tell
look here, here i made substitution in order to make this question simpler.. .. so, i put a = r Sin ★
U can remove the star by any angle.
but whats that star symbol
ok
i u want i can remove this star by any angle
Got it, now?
yes
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GOOD MORNING!
Put a = r Sin ß
where ß is any orbitary angle.
And
b = r Cos ß
ß = Tan-¹ ( a/b )
=>
F ( x ) = Tan-¹
{ r Sin ß × Sin x + r Cos ß Cos x }
___________________________
{ r Sin ß × Cos x - r Cos ß × Sin x }
=>
Tan-¹
{ Cos ( ß - x ) }
__________
{ Sin ( ß - x ) }
=>
Tan-¹{ Cot ( ß - x ) }
=>
Tan-¹ { Tan ( π/2 - ( ß - x ) }
=>
π/2 + x - ß
=>
F ( x ) = π/2 + x - Tan-¹ ( a/b )
Now, Differentiate this function w.r.t x
F'( x ) = 1 - 0
F'( x ) = 1
Put a = r Sin ß
where ß is any orbitary angle.
And
b = r Cos ß
ß = Tan-¹ ( a/b )
=>
F ( x ) = Tan-¹
{ r Sin ß × Sin x + r Cos ß Cos x }
___________________________
{ r Sin ß × Cos x - r Cos ß × Sin x }
=>
Tan-¹
{ Cos ( ß - x ) }
__________
{ Sin ( ß - x ) }
=>
Tan-¹{ Cot ( ß - x ) }
=>
Tan-¹ { Tan ( π/2 - ( ß - x ) }
=>
π/2 + x - ß
=>
F ( x ) = π/2 + x - Tan-¹ ( a/b )
Now, Differentiate this function w.r.t x
F'( x ) = 1 - 0
F'( x ) = 1
what is star im ur answer ?
An "Angle".
thanx...brother
Welcome sis
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