Find the value of \(\frac{cosec90°\;+\;cos45°}{sin90°\;+\;cot45°\;+\; tan45° }\)
Answer & explanation
Correct answer: option 4
⇒ \(\frac{cosec90°\;+\;cos45°}{sin90°\;+\;cot45°\;+\; tan45°}\)
= \(\frac{1+\frac{1}{\sqrt {2}}}{1+1 + 1}\)
= \(\frac{\sqrt {2}+1}{3\sqrt {2}}\)
= \(\frac{\sqrt {2}+1}{3\sqrt {2}}\)×\(\frac{\sqrt {2}}{\sqrt {2}}\)
= \(\frac{2+\sqrt {2}}{6}\)