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. cos xcsc x choose the correct answer below. a. tan x b. sec x c. 1 d. sin x e. cot x f. -1
Answer
Explanation:
Step1: Substitute the reciprocal identity
Recall that (\csc x=\frac{1}{\sin x}). So, (\cos x\csc x=\cos x\times\frac{1}{\sin x}).
Step2: Use the cotangent identity
Since (\cot x = \frac{\cos x}{\sin x}), then (\cos x\times\frac{1}{\sin x}=\cot x).
Answer:
E. (\cot x)