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Suppose ABCD (in order) is a quadrilater...

Suppose ABCD (in order) is a quadrilateral inscribed in a circle. Which of the following is/are always true? (a)`secB=secD` (b) `cotA+cotC=0` (c)`cos e cA=cos e cC` (d) `tanB+tanD=0`

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`A+C=180`
`B+D=180`
`B=180-D`
`secB=sec(180-D)`
`secB=-secD`
`A=180-C`
`cotA=cot(180-C)=-cotC`
`cotA+cotC=0`
...
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