write the expression in terms of sine and cosine, and then simplify so that no quotients appear in the final…
write the expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression. \n sin xcot x \n choose the correct answer below. \n ○ a. 1 \n ○ b. cos x \n ○ c. sec x \n ○ d. -1 \n ○ e. tan x \n ○ f. csc x
Answer
Explanation:
Step1: Substitute cotangent with sine and cosine
Recall that (\cot x=\frac{\cos x}{\sin x}). So, (\sin x\cot x=\sin x\times\frac{\cos x}{\sin x}).
Step2: Simplify the expression
Cancel out the (\sin x) terms. (\sin x\times\frac{\cos x}{\sin x}=\cos x).
Answer:
B. (\cos x)