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Question

In a right angled triangle ABC (right angled at B),

the value of tan A ✕ tan C = _______.


A
1
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B
2
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C
5
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D
10
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Solution

The correct option is A 1


From the above figure,
tan A=BCAB

tan C=ABBC

So,
tan A×tan C=(BCAB) (ABBC)=1


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