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Express the following as the product of sine and cosine. cos 2θ – cos θ - Business Mathematics and Statistics

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प्रश्न

Express the following as the product of sine and cosine.

cos 2θ – cos θ

योग

उत्तर

cos 2θ – cos θ

`= - 2 sin ((2theta + theta)/2) sin ((2theta - theta)/2)`  ...`[∵ cos "C" - cos "D" = - 2 sin (("C + D")/2) cos (("C - D")/2)]`

= - 2 sin `((3theta)/2) sin ((theta)/2)`

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Transformation Formulae
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Trigonometry - Exercise 4.3 [पृष्ठ ८८]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 4 Trigonometry
Exercise 4.3 | Q 2. (iv) | पृष्ठ ८८
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