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Find the principal value of cos^−1(−1/√2).

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asked Jan 13, 2018 in Mathematics by sforrest072 (157,439 points) ● 63 ● 448 ● 1284
edited Jan 22, 2018 by sforrest072

Find the principal value of cos−1(−1/√2).

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answered Jan 13, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 22
selected Jan 13, 2018 by sforrest072
 
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We know that the range of the principal value branch of cos−1 is [0, π] and cos(3π/4)=-1/√2.

Therefore, the principal value of cos-1(-1/√2) is 3π/4.

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