If cos230° + sin230° + tan245° + cot230° + x = 6 , find the value of x .
Answer & explanation
Correct answer: option 4
⇒ cos230° + sin230° + tan245° + cot230° + x = 6
⇒ (\(\frac{\sqrt {3}}{2}\))2 + (\(\frac{1}{2}\))2 + (1)2 + (\(\sqrt {3}\))2 + x = 6
⇒ \(\frac{3}{4}\) + \(\frac{1}{4}\) + 1 + 3 - x = 6
⇒ 1 + 1 + 3 + x = 6
⇒ x = 1