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Some Applications Of Trigonometry

Question

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If A, B, C are interior angles of a ΔABC, show that
(i) $cos squared straight A over 2 plus cos squared open parentheses fraction numerator straight B plus straight C over denominator 2 end fraction close parentheses equals 1.$
(ii) $1 plus tan squared open parentheses fraction numerator straight B plus straight C over denominator 2 end fraction close parentheses space equals space cosec squared straight A.$

Solution

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