Question

Find the values of the constant a and b for which
sin x x cos x (5 tan x + 2 cot x) = a + b sinx.​

Answer 1

• sin x . cos x (5sin x/cos x + 2 cos x/sinx)
• sin x cos x (5sin*2 x + 2cos*2 x)/sin xcos x
• 5sin*2x + 2cos*2x
• 3sin*2x +2sin*2x + cos*2x
• 3sin*2x + 1
• Therefore, a and b are 1 and 3