Simple Question About Pendulum I Can't Do

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SUMMARY

The motion of a pendulum bob is mathematically represented by the equation theta = 3cos(3t) - sqrt3 sin(3t). The amplitude of this motion can be determined by analyzing the maximum value of the function. The correct approach involves using the formula for amplitude in trigonometric functions, which is the square root of the sum of the squares of the coefficients of the cosine and sine terms. In this case, the amplitude is calculated as √(3² + (sqrt3)²) = √(9 + 3) = √12 = 2√3.

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Simple Question About Pendulum I Can't Do !

The motion of the bob of a pendulum is described by

theta = 3cos(3t) - sqrt3 sin(3t)

where theta is the angle of the bob from the vertical. What is the amplitude of this motion??

as an attempt, as i know what the answer is, but just don't know how to get to it i substituted the answer for theta and tried to find what t was
but it didnt help i don't really no where to start for this probelm

thanks if youcould help
 
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