Q. 113.5( 4 Votes )

ABCD is a rectangular figure, joining A,C let us prove that

(i) tanACD = cotACB

(ii) tan2CAD + 1 =

Answer :



AC is the diagonal line joining ABCD


(i) tanACD = cotACB


ACD + ACB = 90


tanACD


= tan(90 - ACB)


= cotACB


(ii) tan2CAD + 1 =


tan2CAD + 1


= cosec2ADC


[ADC = BAC, from the properties]


= cosec2BAC


=


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