Question

(Cosec2A-2)(cot3A-1)
Please answer I m in need I have maths exam tomorrow

Answer 1

Step-by-step explanation:

(Cosec2A-2)(cot3A-1)=1

LHS = cot A . cot 2A − cot 2A . cot 3A − cot 3A . cot A

=cot A . cot 2A − cot 3A(cot 2A + cot A)

=cot A . cot 2A − cot (2A + A)(cot 2A + cot A)

=cot A . cot 2A − [cot 2A . cot A − 1cot 2A + cot A](cot 2A + cot A)

=cot A . cot 2A − cot 2A . cot A + 1

=1 =RHS