" T) "A=(1)/(48)" anform : "(cot A-1)/(2-sec^(2)A)=(cot A)/(1+tan A)

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

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

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

sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

(sec 8 A-1)/( sec 4A-1)= ..................... A) (tan 2A)/( tan 8A) B) (tan 8A)/(tan 2A) C) (cot 8A)/(cot 2A) D) (tan 6A)/(tan 2A)

Prove the trigonometric identities: (1+cot A+tan A)(sin A-cos A)=(sec A)/(cos ec^(2)A)-(cos ecA)/(sec^(2)A)=sin A tan A-cot A cos A

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

" (i) "(1+sec A+tan A)(1-cosec A+cot A)=2

Prove the following identities: (tan A)/(1-cot A)+(cot A)/(1-tan A)=1+tan A+cot A=1+sec A cos ecA