Question

(cot theta + 3)(3 cot theta + 1) = 3 cosec 2 theta + 10 cot theta
plyzzzz tell me if its is true or false with explanations​

Answer 1

Answer:

Step-by-step explanation:

L.H.S . = ( cotθ + 3 ) ( 3 cotθ + 1 )

= cotθ ( 3 cotθ + 1 ) + 3 ( 3 cotθ + 1 )

= 3 cot² θ + cotθ + 9 cotθ + 3

= 3 ( cosec²θ - 1 ) + 10 cotθ + 3 [∵cot²θ = cosec²θ - 1 ]

= 3 cosec² θ - 3 + 10 cotθ + 3

= 3 cosec²θ + 10 cotθ

= R.H.S.

∴L.H.S. = R.H.S.

Hence it is proved.

It is true.

Answer 2

Answer:-True

Hope It's Helpful