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If tan4θ = cot(θ + 20°), find the value of θ if 4θ is an acute angle. - Mathematics

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प्रश्न

If tan4θ = cot(θ + 20°), find the value of θ if 4θ is an acute angle.

योग

उत्तर

tan4θ = cot(θ + 20°)
⇒ cot(90° - 4θ) = cot(θ + 20°)
⇒ 90° - 4θ= θ+ 20°
⇒ 5θ = 70°
⇒ θ = 14°.

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Trigonometric Equation Problem and Solution
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 27: Trigonometrical Ratios of Standard Angles - Exercise 27.3

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 27 Trigonometrical Ratios of Standard Angles
Exercise 27.3 | Q 7
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