Trigonometric R method Practice Problems Online

Which of the following is equal to $4\sin x+4\cos x?$

{4}\sqrt{2}\cos\left(x+\frac{\pi}{4}\right)

{8}\sin\left(x+\frac{\pi}{4}\right)

{4}\sqrt{2}\sin\left(x+\frac{\pi}{4}\right)

{8}\cos\left(x+\frac{\pi}{4}\right)

As $\theta$ ranges over all real values, what is the maximum value of

$(18 \sin \theta + 3 \cos \theta ) ^2 ?$

What are the maximum and minimum values of $-16\sin x+16\sqrt{3}\cos x?$

In the interval $[0,4\pi],$ find the sum of all the solutions to the equation $2\sqrt{6}\sin\left(x+\frac{\pi}{5}\right)-2\sqrt{2}\cos\left(x+\frac{\pi}{5}\right)=2\sqrt{6}.$

What is the largest possible value of $15\sin x +8\cos x,$ where $x$ is a real number?

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