If sin - 1 x 5 + cosec - 1 5 4 = π 2 , then 5 + x =

Question

If sin - 1 x 5 + cosec - 1 5 4 = π 2 , then 5 + x =, 6, 5, 7, 8

MARKS App · Accepted Answer

sin - 1 x 5 + cosec - 1 5 4 = π 2 ⇒ sin - 1 x 5 = π 2 - cosec - 1 5 4 ⇒ sin - 1 x 5 = π 2 - sin - 1 4 5 sin - 1 x + cos - 1 x = π 2 ⇒ sin - 1 x = π 2 - cos - 1 x ⇒ sin - 1 x 5 = cos - 1 4 5 We know, cos - 1 4 5 = sin - 1 3 5 ⇒ sin - 1 x 5 = sin - 1 3 5 So, x = 3 ⇒ 5 + x = 8

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