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If cos3θ = sin(θ - 34°), find the value of θ if 3θ is an acute angle. - Mathematics

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प्रश्न

If cos3θ = sin(θ - 34°), find the value of θ if 3θ is an acute angle.

योग

उत्तर

cos3θ = sin(θ - 34°)
⇒ sin(90° - 3θ) = sin(θ - 34°)
⇒ 90° - 3θ = θ - 34°
⇒ 4θ = 124°
⇒ θ = 31°.

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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 6
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