Hello BG5965Amplitude: varies between and . The value of is called the amplitude of the graph.1 a) The 12-hour gap between consecutive high tides gives the value of the period. So using the formula for the period above:
Period: the distance between corresponding points on consecutive cycles - for instance two consecutive peak values - is called the period. If is measured in degrees, the period is .
Initial value. When . So the graph starts at its maximum value.
The maximum and minimum values are and , so the value of is ... ?
b) Here the values vary between and , a difference of . You'll notice that these values are exactly more than the values in (a). So
- the amplitude is still , but
- you'll need to add a constant value of to the equation in (a). Answer: (with the same values of and as before)
2) The sine function again takes values between and , with its first maximum occurring at . So varies between and , with the first maximum occurring when ?
3) Use the same ideas again to get the answers here.
Can you fill in the gaps?