of the six circular functions, which have period π? which have period 2π? which of the functions have period…

of the six circular functions, which have period π? which have period 2π? which of the functions have period π? select all that apply. a. sec x b. tan x c. csc x d. sin x e. cot x f. cos x which of the functions have period 2π? select all that apply. a. cot x b. tan x c. sin x d. sec x e. csc x f. cos x

of the six circular functions, which have period π? which have period 2π? which of the functions have period π? select all that apply. a. sec x b. tan x c. csc x d. sin x e. cot x f. cos x which of the functions have period 2π? select all that apply. a. cot x b. tan x c. sin x d. sec x e. csc x f. cos x

Answer

Brief Explanations:

The tangent function $y = \tan x$ and the cotangent function $y=\cot x$ have a period of $\pi$ because $\tan(x + \pi)=\tan x$ and $\cot(x+\pi)=\cot x$. The sine function $y = \sin x$, cosine function $y=\cos x$, secant function $y = \sec x$ and cosecant function $y=\csc x$ have a period of $2\pi$ since $\sin(x + 2\pi)=\sin x$, $\cos(x + 2\pi)=\cos x$, $\sec(x + 2\pi)=\sec x$ and $\csc(x + 2\pi)=\csc x$.

Answer:

Which of the functions have period $\pi$? B. $\tan x$, E. $\cot x$ Which of the functions have period $2\pi$? C. $\sin x$, D. $\sec x$, E. $\csc x$, F. $\cos x$