삼각함수 전체 문제

Compute sine of $240^\circ .$

State the domain of the sine and cosine functions.

State the range of the sine and cosine functions.

Find the exact value of $\cot \,\frac{\pi }{4}.$

Find the exact value of $\tan \,\frac{\pi }{3}.$

Use reference angles to evaluate $\csc \,\frac{7\pi }{4}.$

Use reference angles to evaluate $\tan \,210^\circ .$

If $\csc \,t=0.68,$ what is the $\csc (-t)?$

If $\cos \,t=\frac{\sqrt{3}}{2},$ find $\cos (t-2\pi ).$

Find the missing angle: $\cos \left(\frac{\pi }{6}\right)=\sin (\_\_\_)$

Why are the sine and cosine functions called periodic functions?

For the equation $A\,\cos (Bx+C)+D,$ what constants affect the range of the function and how do they affect the range?

How does the range of a translated sine function relate to the equation $y=A\,\sin (Bx+C)+D?$

For the following exercises, let $f(x)=\sin \,x.$

On $[0,2\pi ),$ solve $f(x)=0.$

For the following exercises, let $f(x)=\sin \,x.$

On $[0,2\pi ),$ solve $f(x)=\frac{1}{2}.$

For the following exercises, let $f(x)=\sin \,x.$

Evaluate $f\left(\frac{\pi }{2}\right).$

For the following exercises, let $f(x)=\sin \,x.$

On $[0,2\pi ),f(x)=\frac{\sqrt{2}}{2}.$ Find all values of $x.$

For the following exercises, let $f(x)=\sin \,x.$

On $[0,2\pi ),$ the maximum value(s) of the function occur(s) at what x-value(s)?

For the following exercises, let $f(x)=\sin \,x.$

On $[0,2\pi ),$ the minimum value(s) of the function occur(s) at what x-value(s)?

For the following exercises, let $f(x)=\cos \,x.$

On $[0,2\pi ),$ solve the equation $f(x)=\cos \,x=0.$