Q. What is the period of the function h(x)=−3cos(πx+2)−6?Give an exact value.units
Period of cosine function: The period of a cosine function of the form h(x)=Acos(Bx+C)+D is given by ∣B∣2π. In our function h(x)=−3cos(πx+2)−6, the coefficient B in front of x is π.
Calculating the period: Calculate the period using the formula ∣B∣2π with B=π.Period = ∣π∣2π = π2π = 2.
No math error in calculation: Since the period is a positive value and we have calculated it using the correct formula, there is no math error in the calculation.
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