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If tan 4theta = cot 3 theta , then g...

If tan `4theta = cot 3 theta ` , then general value of `theta`-

A

`(2n+1)(pi)/(14),n ne 3k`

B

`(2n+1)(pi)/(6)`

C

`(2n+1)(pi)/(14)`

D

`(2n+1)(pi)/(14),n ne 8 k`

Text Solution

Verified by Experts

The correct Answer is:
C
tan `4 theta= cot 3 theta`
`thetane(2n+1)(pi)/(8)`
`theta ne (npi)/(3)`
` theta =((2n+1)pi)/(2(4+3))`
no condition is applicable
hence ` theta =((2n+1)pi)/(14)`
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