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cosec A + cot A - 1 / cot A - cosec A + 1
we know that,cosec ² A - cot ² A = 1
substituting this in the numerator
cosec A + cot A -(cosec ² A - cot ² A) / (cot A - cosec A + 1)
x²-y²= (x+y)(x-y)
cosec A + cot A - (cosec A + cot A) (cosec A - cot A) / (cot A - cosec A + 1)
taking common
(cosec A + cot A)(1-cosec A + cot A) / (cot A - cosec A + 1)
cancelling like terms in numerator and denominator
we are left with cosec A + cot A
= 1/sin A + cos A/sin A
= (1+cos A) / sin A
GIVE A THUMBS UP :-
we know that,cosec ² A - cot ² A = 1
substituting this in the numerator
cosec A + cot A -(cosec ² A - cot ² A) / (cot A - cosec A + 1)
x²-y²= (x+y)(x-y)
cosec A + cot A - (cosec A + cot A) (cosec A - cot A) / (cot A - cosec A + 1)
taking common
(cosec A + cot A)(1-cosec A + cot A) / (cot A - cosec A + 1)
cancelling like terms in numerator and denominator
we are left with cosec A + cot A
= 1/sin A + cos A/sin A
= (1+cos A) / sin A
GIVE A THUMBS UP :-
sagarikasharma1:
Can u plz post it in ur own handwriting? It will be more convenient for me
sorry im in hurry could type it only
Still it is not providing the right proof .plz look at it again
cosec A + cot A - 1 / cot A - cosec A + 1
we know that,cosec ² A - cot ² A = 1
substituting this in the numerator
cosec A + cot A -(cosec ² A - cot ² A) / (cot A - cosec A + 1)
x²-y²= (x+y)(x-y)
cosec A + cot A - (cosec A + cot A) (cosec A - cot A) / (cot A - cosec A + 1)
taking common
(cosec A + cot A)(1-cosec A + cot A) / (cot A - cosec A + 1)
cancelling like terms in numerator and denominator
we are left with cosec A + cot A
= 1/sin A + cos A/sin A
= (1+cos A) / sin A
we know that,cosec ² A - cot ² A = 1
substituting this in the numerator
cosec A + cot A -(cosec ² A - cot ² A) / (cot A - cosec A + 1)
x²-y²= (x+y)(x-y)
cosec A + cot A - (cosec A + cot A) (cosec A - cot A) / (cot A - cosec A + 1)
taking common
(cosec A + cot A)(1-cosec A + cot A) / (cot A - cosec A + 1)
cancelling like terms in numerator and denominator
we are left with cosec A + cot A
= 1/sin A + cos A/sin A
= (1+cos A) / sin A
now check
Omg its given to proof 1+cosa/1+sins
Sins
Sin a*
Not 1+cosa/sina
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