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Question

In fig C=90 and D is the mid point of seg AC. write

tanABCtanDBC

184728_f604b86dd4af48db8db7c1d4eb135881.png

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Solution

In the given figure,
C=90
In ABC,
tanABC=PB=ACBC
In CDB,
tanDBC=PB=CDBC
Now,
tanABCtanDBC=ACBCCDBC
tanABCtanDBC=ACCD
tanABCtanDBC=2CD2CD
tanABCtanDBC=2 (D is mid point of AC)

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