If tan230° + cot260° + sec260° + x = 5 , find the value of x .
Answer & explanation
Correct answer: option 3
⇒ tan230° + cot260° + sec260° + x = 5
⇒ (\(\frac{1}{\sqrt {3}}\))2 + (\(\frac{1}{\sqrt {3}}\))2 + (2)2 + x = 5
⇒ \(\frac{2}{3}\)+ 4 + x = 5
⇒ x = 1 - \(\frac{2}{3}\) = \(\frac{1}{3}\)