Evaluate : tan-1(√2 sin 3π÷4)
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Answer:
Let cos−1(√3/2) = y then
cos y = √3/2 = cos(π/6)
We know that the range of the principal value branch of cos-1 is [0, π]
and cos(π/6) = √3/2
Hence, the principal value of cos−1(√3/2) = π/6.
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