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\[0 \le \theta <360\] \[\sec \theta= \csc \theta\]
\[0≤θ<360\] \[\theta<360\] 360 integer solutions
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45 degrees and 225 degrees sec theta = 1/costheta csc theta = 1/sintheta so 1/costheta = 1/sintheta on the interval 0=<theta<360 because 45 degrees gives sqrt2/2 for both sin and cos and 225 gives both -sqrt2/2 for sin and cos, these are the only two values that satisfy the equation
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