If tan230° + cos245° + sin245° + tan260° - x = 5 , find the value of x .
Answer & explanation
Correct answer: option 3
⇒ tan230° + cos245° + sin245° + tan260° - x = 5
⇒ (\(\frac{1}{√3}\))2 + (\(\frac{1}{√2}\))2 + (\(\frac{1}{√2}\))2 + (\(\sqrt {3}\))2 - x = 5
⇒ \(\frac{1}{3}\) + \(\frac{1}{2}\) + \(\frac{1}{2}\) + 3 - x = 5
⇒ \(\frac{2 + 3 + 3 + 18 - 6x}{6}\) = 5
⇒ 26 - 6x = 30
⇒`-4x = 6
⇒ x = -\(\frac{3}{2}\)