Attempt following question by selecting a choice to answer.
c
Find the value of
cot x - cos 2xsin x cos x. BBBB ccccA.
ccot
xB.
ctan
xC.
csin
xD.
ccos
x
cc
B
Step 1: cot x - cos 2xsin x cos x
Step 2: = cot x - (cos² x - sin² x)sin x cos x[Use cos 2x = cos² x - sin² x.]
Step 3: cot x - cos² xsin x cos x + sin² xsin x cos x[Seperate the terms.]
Step 4: = cot x - cot x + tan x[Simplify.]
Step 5: = tan x
Step 6: Therefore, the value of cot x - cos 2xsin x cos x = tan x.