1.

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

Answer» `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`
`A=180-C`
`cosecA=cosec(180-C)=cosecC`
`B=180-D`
`tanB=tan(180-D)=-tanD`
`tanB+tanD=0`.


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