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सिध्द कीजिए कि: (1)/(2) (cot .(A)/(2) -...

सिध्द कीजिए कि: `(1)/(2) (cot .(A)/(2) - tan .(A)/(2)) = cot A`

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cot A=(1)/(2)(cot((A)/(2))-tan((A)/(2)))

cot A =1/2 (cot ""(A)/(2) - tan "" (A)/(2)).

tan A cot((A)/(2))-1=

tan A cot (A//2)-1=

(cot A-1)/(2-sec^(2)A)=(cot A)/(1+tan A)

(cot A-1)/(2-sec^(2)A)=(cot A)/(1+tan A)

(cot A-1)/(2-sec^(2)A)=(cot A)/(1+tan A)

(cot A-1)/(2-sec^(2)A)=(cot A)/(1+tan A)

1+tan A tan((A)/(2))=tan A cot((A)/(2))-1=sec A

(1+ tan^2 A)/(1+cot^2 A) = tan^2 A