If sin230° + cos230° + cot245° + tan260° - x = 6 , find the value of (x - 2).
Answer & explanation
Correct answer: option 2
⇒ sin230° + cos230° + cot245° + tan260° - x = 6
⇒ (\(\frac{1}{2}\))2 + (\(\frac{√3}{2}\))2 + 1 + (\(\sqrt {3}\))2 - x = 6
⇒ \(\frac{1}{4}\) + \(\frac{3}{4}\) + 1 + 3 - x = 6
⇒ 1 + 1 + 3 - x = 6
⇒`x = 1
⇒ ( x - 2 ) = ( 1 - 2 ) = -1