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The value of following is `cos24^(@)+cos55^(@)+cos125^(@)+cos204^(@)+cos300^(@)`A. `-1//2`B. `1//2`C. `2`D. `1` |
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Answer» Correct Answer - b The value of `cos24^(@)+cos55^(@)+cos125^(@)+cos204^(@)+cos300^(@)` We know that `cos(180^(@)+-theta)` `=-cos theta` `rArr cos24^(@)+cos55^(@)+cos(180^(@)-55^(@))+cos(180^(@)+24^(@))=cos(360^(@)-60^(@))` `rArrcos24^(@)+cos55^(@)-cos55^(@)-cos24^(@)+cos60^(@)` `rArrcos 60^(@)=(1)/(2)` |
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