Which of the following will satisfy a2 = b2 + (ab)2 for the values a and b?
Answer & explanation
Correct answer: option 3
If we choose option 3 = a cot x, b = cos x
cot2x = cos2x + (cot x × cos x)2
cot2x = cos2x+ (cot2 x × cos2 x)
cot2x = cos2x (cot2 x + 1)
cot2x = cos2x (cosec2x)
cot2x = cos2x (\(\frac{1}{sin}\))2
cot2x = cot2x