Question

cot^2A +4 = 6cosecA​
find A

Answer 1

Answer:

Cot²A+4=6cosecA

=>Cosec²A-1+4=6CosecA. ...........(Cosec²Ø-Cot²Ø=1)

=>Cosec²A-6CosecA+3=0

Answer 2

Answer:

Given : cosecaA = √2

therefore, A = π/4 = 45⁰

Explanation:

sin A = sin 45⁰ = 1/√2

cot A = cot 45⁰ = 1,

tan A = tan 45⁰ = 1

cos A = cot 45⁰ = 1/√2

therefore, 2sin²A + 3cot² A/4( tan²A - cos² A)

= 2(1/2) + 3(1)/4(1-(1/2))

= 2