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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