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Inverse Trigonometric Functions

Question
CBSEENMA12032637

Find the principal values of the following

cosec-1(2)

Solution

Let y == cosec-1(2)               where straight y element of open square brackets fraction numerator negative straight pi over denominator 2 end fraction comma space 0 close square brackets union open parentheses 0 comma space straight pi over 2 close parentheses
therefore   cosec y = 2                    where straight y element of open square brackets fraction numerator negative straight pi over denominator 2 end fraction comma space 0 close square brackets union open parentheses 0 comma space straight pi over 2 close parentheses
therefore space space space space space space space space space space space space space space space space space space space y equals straight pi over 6
therefore     required  prinicipal value = straight pi over 6

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