cos27+sin27÷cos–sin27= cot 18 or 72
formula: a²–b²=(a+b)(a–b)
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Step-by-step explanation:
cos27+sin27/cos27-sin27
=(cos27+sin27)(cos27+sin27)/cos²27-sin²27
=cos²27+sin²27+2cos27sin27/ cos²27+sin²27+cos²27-sin²27-1
=1+sin2*27/cos2*27
=sec2*27+tan2*27
=sec3*18+tan3*18
=COT18
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