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Find the value of sin 105° - Mathematics

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प्रश्न

Find the value of sin 105°

बेरीज

उत्तर

sin 105° = sin(90° + 15°)

= cos 15°

= cos(45° – 30°)

= cos 45° cos 30° + sin 45° sin 30°

= `1/sqrt(2)*sqrt(3)/2 + 1/sqrt(2)*1/2`

sin(105°) = `1/(2sqrt(2)) (sqrt(3) + 1)`

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Trigonometric Functions and Their Properties
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.4 [पृष्ठ १०९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.4 | Q 5. (ii) | पृष्ठ १०९

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