please answer me for this sum
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ye to muje ni aate aapko Kya btau
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Given:
cot θ = 1
To find:
(sin ²θ - cos ²θ) / (2 sin ²θ - sin² θ)
Solution:
From given, we have,
cot θ = 1
we use the trigonometric relations, so we have,
cot θ = cos θ/sin θ
therefore, we get,
⇒ cot θ = cos θ/sin θ = 1
⇒ cos θ/sin θ = 1
∴ cos θ = sin θ
⇒cos ²θ = sin ²θ
Now consider,
(sin ²θ - cos ²θ) / (2 sin ²θ - sin² θ)
= (sin ²θ - sin ²θ) / (sin ²θ)
= 0 / (sin ²θ)
= 0
∴ (sin ²θ - cos ²θ) / (2 sin ²θ - sin² θ) = 0
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