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Prove that sin4x+sin2xcos4x+cos2x = tan 3x

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प्रश्न

Prove that `(sin 4x + sin 2x)/(cos 4x + cos 2x)` = tan 3x

बेरीज
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उत्तर

`(sin 4x + sin 2x)/(cos 4x + cos 2x)` = `(2sin((4xx + 2x)/2) * cos((4x - 2x)/2))/(2cos((4x + 2x)/2) * cos((4x - 2x)/2))`

= `(sin 3x * cos x)/(cos 3x * cos x)`

= `(sin 3x)/(cos 3x)`

= tan 3x

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Trigonometric Functions and Their Properties
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometry - Exercise 3.6 [पृष्ठ १२१]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 3 Trigonometry
Exercise 3.6 | Q 8 | पृष्ठ १२१

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