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Find tan15^@ and hence show that tan15^@...

Find `tan15^@` and hence show that `tan15^@+cot15^@=4`

A

`sqrt(3)`

B

`2sqrt(3)`

C

4

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Consider tan `15^(@)+cot15^(@)=(sin15^(@))/(cos15^(@))+(cos15^(@))/(sin15^(@))`
`(becausesin^(2)theta+cos^(2)theta=1)`
`=(2)/(sin30^(@))=(4sin30^(@)=(1)/(2))`
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