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What is the frequency of #f(theta)= sin 3 t - cos2 t #?

Answer 1

#2pi#

Frequency of sin 3t --> #(2pi)/3# Frequency of cos 2t --> #(2pi)/2 = pi# Frequency of f(t) --> least common multiple of (2pi/3) and #pi# --> #2pi#

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Answer 2

Zoe Austin

The frequency of the function ( f(\theta) = \sin(3\theta) - \cos(2\theta) ) can be determined from the coefficients of ( \theta ) within the trigonometric functions.

For ( \sin(3\theta) ), the frequency is ( \frac{3}{2\pi} ) because the coefficient of ( \theta ) is 3.

For ( \cos(2\theta) ), the frequency is ( \frac{2}{2\pi} = \frac{1}{\pi} ) because the coefficient of ( \theta ) is 2.

So, the frequency of the function ( f(\theta) ) is ( \frac{3}{2\pi} ) for ( \sin(3\theta) ) and ( \frac{1}{\pi} ) for ( \cos(2\theta) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.