Find the principal value of:
cos-1 (tan 3pi/4)

    cos-1tan3π4=cos-1tanπ - π4= cos-1- tanπ4=cos-1-1So,  cos-1tan3π4 = cos-1-1We know that ranges of the principal values of cos-1 is 0, π.Let cos-1-1 = θcos θ = -1cos θ = cos πθ = π 0, πSo, principal value of cos-1tan3π4 = π

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