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in Trigonometry by (47.8k points)
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(\(\frac{cos\,x}{cosec\,x}\)) - \(\sqrt{1-sin^2x}\sqrt{1-cos^2x}\) is:

(a) cos2 x – sin2

(b) sin2 x – cos2

(c) 1 

(d) 0

1 Answer

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Best answer

(d) 0

(\(\frac{cos\,x}{cosec\,x}\)) - \(\sqrt{1-sin^2x}\sqrt{1-cos^2x}\) 

= (cos x) x (sin x) – \(\sqrt{cos^2x}\sqrt{sin^2x}\)

= (cos x) x (sin x) – (cos x) x (sin x) 

= 0

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