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Find the principal solutions of the following equation: cot θ = 0 - Mathematics and Statistics

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प्रश्न

Find the principal solutions of the following equation:

cot θ = 0

योग
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उत्तर

cot θ = 0

Since θ ∈ (0, 2π)

∴ cot θ = 0 = cot `π/2 = "cot" (π + pi/2)`   … [∴ cot (π + θ) = cot θ]

∴ cot θ = cot `π/2 = cot  (3π)/2`

∴ `θ = pi/2  or  θ = (3π)/2`

Hence, the required principal solutions are `{π/2, (3π)/2}`.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०८]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.3 | पृष्ठ १०८

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