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Some Applications Of Trigonometry

Question
CBSEENMA10007687
Wired Faculty App

If A, B and C are interior angles of ΔABC, then show that
          space sin space open parentheses fraction numerator straight B plus straight C over denominator 2 end fraction close parentheses space equals space cos straight A over 2.

Solution
 In ΔABC, we have
            straight A plus straight B plus straight C space equals space 180 degree
rightwards double arrow space space space space space space space space space space space space space space space space space space space straight B plus straight C space equals space 180 degree space space minus straight A rightwards double arrow space space space space space space space space space space space space space space space space space space space fraction numerator straight B plus straight C over denominator 2 end fraction space equals space 90 degree minus straight A over 2 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space left square bracket dividing space both space side space by space 2 right square bracket
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Some More Questions From Some Applications of Trigonometry Chapter

Choose the correct option and justify your choice:
sin 2A = 2 sin A is true when A = 
(A) 0°         (B) 30°         (C) 45°       (D) 60°

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