Question

cosec2A + cot2A = cotA​

Answer 1

Explanation:

this is ur answer. i hope i will understand

Answer 2

Used formula:-

• $\cos(2</u><u>A</u><u>) = 2 { \cos}^{2} </u><u>A</u><u>- 1$
• $\sin(2</u><u>A</u><u>) = 2 \sin(</u><u>A</u><u>) \cos(</u><u>A</u><u>)$

To Prove:-

• cosec2A + cot2A = cotA

Proof:-

Taking left hand side(LHS),

$= > \csc(2A) + \cot(2A) \\ = > \frac{1}{ \sin(2A) } + \frac{ \cos(2A) }{ \sin(2A) } \\ = > \frac{1 + \cos(2A) }{ \sin(2A) } \\ = > \frac{1 + { 2\cos }^{2}A- 1 }{2 \sin(A) \cos(A) } \\ = > \frac{ 2{ \cos }^{2}A }{2 \sin(A) \cos(A) } \\ = > \frac{ \cos(A) }{ \sin(A) } = \cot(A)$

Hence we got right hand side❤

Hence proved

Hope its help uh❤