InterviewSolution
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InterviewSolution
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What is the value of sin^-1(sin 6)?(a) -2π – 6(b) 2π + 6(c) -2π + 6(d) 2π – 6I have been asked this question by my college director while I was bunking the class.This interesting question is from Inverse Trigonometry in division Inverse Trigonometric Functions of Mathematics – Class 12 |
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Answer» RIGHT choice is (c) -2π + 6 To explain I would say: We know, sin X = sin(π – x) So, sin 6 = sin(π – 6) = sin(2π + 6) = sin(3π – 6) = sin(-π – 6) = sin(-2π – 6) = sin(-3π – 6) So, sin^-1(sin 6) = sin^-1(sin (-2π + 6)) = -2π + 6 |
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