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What is the value of the expression : (t...

What is the value of the expression : `(tan 0^@ tan 1^@ tan 2^@ tan3^@ tan 4^@ ______ tan 89^@)`

(A) 0

(B) 1

(C ) 2

(D) `frac(1)(2)`

A

`-1`

B

2

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
`(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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