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ICSE Class 9 Answered

cos18-sin18
Asked by bhuvanajajimoggala0 | 20 Dec, 2023, 06:41: PM
answered-by-expert Expert Answer

cos18-sin18 = cos(45-27) - sin(45-27)

RHS = cos45 cos27 + sin45 sin27 - sin45 cos27 + cos45sin27

Sum of first term and third term of RHS is zero because cos45 = sin45 = 1/√2

Hence we get ,

RHS = sin45 sin27  + cos45sin27 = (2/√2 ) sin27 = √2 sin27

Answered by Thiyagarajan K | 20 Dec, 2023, 08:04: PM
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