Practicing Success
Which of the following will satisfy a2 = b2 + (ab)2 for the values a and b? |
a sin x, b = cot x a = cos x, b = tan x a cot x, b = cos x a sin x, b = tan x |
a cot x, b = cos x |
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 |