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Verify and show work

csc x - cos x • cot x = sin x

User KatariaA
by
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1 Answer

9 votes

Answer: The answer is (d) ⇒ cscx = √3

Explanation:

∵ sinx + (cotx)(cosx) = √3

∵ sinx + (cosx/sinx)(cosx) = √3

∴ sinx + cos²x/sinx = √3

∵ cos²x = 1 - sin²x

∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M

∴ (sin²x + 1 - sin²x)/sinx = √3

∴ 1/sinx = √3

∵ 1/sinx = cscx

∴ cscx = √3

User Garee
by
8.0k points

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