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Find all the angles between 0° and 360° which satisfy the equation sin2θ = 34 - Mathematics

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प्रश्न

Find all the angles between 0° and 360° which satisfy the equation sin2θ = `3/4`

योग

उत्तर

sin2θ = `3/4`

⇒ sin θ = `+- sqrt(3)/2`

sin 60° = `sqrt(3)/2`

sin 120° = sin(180° – 60°)

= sin 60° 

= `sqrt(3)/2`

∴ θ = 60° and 120°

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Trigonometric Functions and Their Properties
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometry - Exercise 3.3 [पृष्ठ १०४]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 3 Trigonometry
Exercise 3.3 | Q 5 | पृष्ठ १०४

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