Question

if cosec² theta (1 + cos theta ) (2-cos theta) = A the value of A is​

Answer 1

Answer:

if Cosec^2(theta) (1+cos(theta))(1-cos(theta))=A then A=1

cosec^2(1-cos^2(theta))=cosec^2*sin^2(theta)=1

Step-by-step explanation:

Answer 2

Answer:

A = 1

Step-by-step explanation:

I believe your Question was,

"if cosec²θ(1 + cosθ)(1 - cosθ) = A, the value of A is"

So, we have,

cosec²θ(1 + cosθ)(1 - cosθ) = A

We know that, Using identity

(a - b)(a + b) = a² - b²

= cosec²θ(1 + cosθ)(1 - cosθ) = A

= cosec²θ(1² - cos²θ)

= cosec²θ(1 - cos²θ)

We know that,

Sin²θ + Cos²θ = 1

So,

1 - Cos²θ = Sin²θ

Thus, we get,

cosec²θ(1 - cos²θ)

= cosec²θ(sin²θ)

= (1/sin²θ)(sin²θ)

= 1

Hence,

A = 1

Hope it helped you and believing you understood it...All the best