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What is the value of tan 1^(@) tan 2^(@)...

What is the value of `tan 1^(@) tan 2^(@) tan 3^(@)` .......... `tan 89^(@)` ?

A

None of these/अपरिभाषित

B

0

C

1

D

89

Text Solution

Verified by Experts

The correct Answer is:
C
`(tan 1^@ . tan2^@ . tan3^@....... tan87^@ . tan88^@ . tan89^@)`
`=(tan 1^(@) .tan89^(@)) (tan2^(@). tan88^(@)) (tan3^(@). tan87^(@))……….(tan44^(@). tan46^(@)). tan45^(@)`
`= 1 xx 1 xx .......... 1 xx 1 = 1 {tan alpha . tan (90^(@) - alpha ) = 1}`
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