Question

prove that: 1 + 3 cosec² theta • cot² theta + cot⁶theta = cosec⁶theta ​

Answer 1

cosec

6

θ=(cosec

2

θ)

3

.

cosec

2

θ=cot

2

θ+1−−−−(1)

(cosec

2

θ)

3

=(cot

2

θ+1)

3

Since (x+y)

3

=x

3

+y

3

+3xy(x+y),we have

cosec

6

θ=(cot

2

θ)

3

+(1)

3

(cot

2

θ)(1)(cot

2

θ+1)

⇒cosec

6

θ=cot

6

θ+1+3.cot

2

.cosec

2

θ

⇒cosec

6

θ=cot

6

θ+3.cot

2

cosec

2

θ+1

∴ L.H.S=R.H.S

I hope this will helps you

please mark me as brainliest

please follow me

I will see for your reply

Answer 2

Answer:

Thanks for free points ☺☺