If sin - 1 ⁡ 1 3 + sin - 1 ⁡ 2 3 = sin - 1 ⁡ x , then the value of x is

Question

If sin - 1 ⁡ 1 3 + sin - 1 ⁡ 2 3 = sin - 1 ⁡ x , then the value of x is, 0, ( 5 - 4 2 ) 9, ( 5 + 4 2 ) 9, π 2

MARKS App · Accepted Answer

Given that, sin - 1 ⁡ 1 3 + sin - 1 ⁡ 2 3 = sin 1 ⁡ x Taking sine on both sides ⇒ ⁡ 1 3 1 - 4 9 + 2 3 1 - 1 9 = ⁡ x ⇒ ⁡ 1 3 . 5 3 + 2 3 . 8 3 = ⁡ x ⇒ ⁡ 5 + 4 2 9 = ⁡ x ∴ x = 5 + 4 2 9

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