Find the value of \(\frac{cos^227°\;+\;cos^263°}{sin^290°}\) - cot245° + cot230°
Answer & explanation
Correct answer: option 1
Formula → [cos2A + cos2B = 1, when A + B = 90°]
Here, (27° + 63° = 90°), therefore,
⇒ \(\frac{cos^227°\;+\;cos^263°}{sin^290°}\) - cot245° + cot230°
= \(\frac{1}{1}\) - 1 + (\(\sqrt {3}\))2
= 1 - 1 + 3 = 3