Question

1+cos a/sin a -sin a/1+cos a=2 cot a please guys need fast​
as much as possible

Answer 1

Answer:

Step-by-step explanation:

1+cos a/sin a -sin a/1+cos a =2 cot a

1-cos² a/sin a×(1-cos a)  - sin a×(1-cos a)/1-cos² a = 2× cos a/sin a

sin²a/sin a(1-cos a) -  sin a×(1-cos a)/sin²a = 2 cos a/sin a

sin a/1-cos a - 1-cos a/sin a = 2 cos a/sin a

sin²a-(1-cos a)²/(1-cos a)sin a= 2 cos a/sin a

1-cos²a-1-cos²a+2 cos a/(1-cos a)sin a = 2 cos a/sin a

2-2cos²a+2 cos a/(1-cos a)sin a = 2cos a/sin a

1-cos²a+cos a/(1-cos a)sin a =cos a/sin a

sin²a+cos a /(1-cos a)sin a =  cos a/sin a

sin²a+cos a/(1-cos a)  = cos a

sin²a+cos a-cos²a = cos a-cos²a

sin²a=0

sin a=0

sin a=sin 0

a = 0°

hope you understand

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