friends please solve questions no.10
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friends please solve questions no.10
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Step-by-step explanation:
In the question,
We have to calculate the value of the given term,
cosec²θ(1 + cosθ)(1 - cosθ)
Now,
We know that from the property,
(a + b)(a - b) = a² - b²
So, using the same here we can say,
cosec²θ(1 + cosθ)(1 - cosθ) = cosec²θ(1 - cos²θ)
Now,
We also know that,
sin²θ + cos²θ = 1
So,
sin²θ = (1 - cos²θ)
Now putting this in the equation, we get,
cosec²θ.sin²θ = 1
Therefore, the required value of the given equation is = 1, shown as,
cosec²θ(1 + cosθ)(1 - cosθ) = 1