Question

What is the value of9cot² θ − 9cosec² θ?

Answer 1

Answer:

The value of 9cot² θ − 9cosec² θ is - 9.

Step-by-step explanation:

Given : 9cot² θ − 9cosec² θ

9cot² θ − 9cosec² θ = 9(cot² θ − cosec² θ)

= - 9 ( cosec² θ - cot² θ )

= - 9 × 1  

[By using  an identity, cosec² θ -  cot² θ =  1]

9cot² θ − 9cosec² θ = - 9

Hence, the value of 9cot² θ − 9cosec² θ is - 9.

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Answer 2

According to the Question:

⇒ 9cot² θ − 9cosec² θ

Factoring the common value 9 from the above expression, we get :-

⇒ 9cot² θ − 9cosec² θ

⇒ 9( cot² θ − cosec² θ )

⇒ - 9( cosec² θ - cot² θ )

Note: Using identity - [ cosec² θ - cot² θ = 1 ]

⇒ - 9 ____________[ANSWER]