Choose the correct answer in each of the following questions:
If `tanx= 3cotx " then " x=?`

Choose the correct answer in each of the following questions: If tan theta=sqrt(3) " then " sec theta=?

Choose the correct answer in each of the following questions: If tan theta=(4)/(3) " then " (sin theta+cos theta)=?

Choose the correct answer in each of the following questions: If 2cos 3 theta=1 " then " theta=?

Choose the correct answer in each of the following questions: If sqrt(3) tan 2theta-3=0 " then " theta=?

Choose the correct answer in each of the following questions: sec^(2)60^(@)-1=?

Choose the correct answer in each of the following questions: If x tan 45^(@)cos60^(@)=sin 60^(@) cot60^(@) " then " x=?

Choose the correct answer in each of the following questions: If 2x=sec A and (2)/(x)=tanA" then " 2(x^(2)-(1)/(x^(2)))=?