The value of sin^-1 ( sin 10 ), isa) 10b) 10-3πc) 3π-10d) none of these
Technical GURUJI , 7 Years ago
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Trigonometry> The value of sin^-1 ( sin 10 ), isa) 10b)...
1 AnswersArun
Last Activity: 7 Years ago
Know that the range of the sin⁻¹ function is [-π/2, π/2]. You need to find the value in that interval having the same sine as 10.
sin(10) = sin(π - 10) = sin(3π - 10)
-π/2 ≤ 3π - 10 ≤ π/2
sin⁻¹[sin(10)] = 3π - 10
sin(10) = sin(π - 10) = sin(3π - 10)
-π/2 ≤ 3π - 10 ≤ π/2
sin⁻¹[sin(10)] = 3π - 10
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