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Question

If 3 sin-1x = π-cos-1x, then x = __________________.

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Solution


3sin-1x=π-cos-1x3π2-cos-1x=π-cos-1x sin-1x+cos-1x=π23π2-3cos-1x=π-cos-1x
2cos-1x=3π2-π=π2cos-1x=π4x=cosπ4=12

If 3sin−1x = π cos1x, then x = 12 .

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