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Write the value of cos–1(cos 1540°). |
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Answer» Given cos-1 (cos 1540°) = cos-1{cos (1440° + 100°)} = cos -1{cos (360° × 4 + 100°)} We know that cos (2π + θ) = cos θ = cos -1{cos 100°} We know that cos-1 (cos θ) = θ if θ ∈ [0, π] = 100° ∴ cos-1 (cos 1540°) = 100° |
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