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If sin(sin-115 + cos-1x) = 1, then find the value of x.

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sin(sin-115 + cos-1x) = sinπ2
⇒ sin-115 + cos-1x = sinπ2
or (sin-115 + cos-115) + (- cos-115x) = π2
or π2 – cos-115 + cos-1x = π2
or cos-115 – cos-1x = π2
or cos-1x = cos-115
⇒ x = 15

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