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How do you sketch these sine graphs etc?
- Thread starter Joseph A
- Start date
To sketch sine curves, you can usually get a clue by knowing the meanings of terms in the general equation.
y = A*sin(omega*theta + phi) + y0
A is amplitude
omega is angular frequency
phi is phase offset
y0 is the mid-line offset
In any case, your sine curve should vertically range from y0 - A to y0 + A.
Tangents are a little more tricky, since they aren't waves, but rather "heart monitor curves". The y-value where the argument = 0 will equal y0. The y-value where argument = Pi/4 will be y0 + A, and the y-value where argument = -Pi/4 will be y0 - A. Vertical asymptotes occur everywhere where the argument = every odd multiple of Pi/2.
Your trigonometric function should have a period given by 2*Pi/omega. Crunch this value and you will know how long to draw one period.
y = A*sin(omega*theta + phi) + y0
A is amplitude
omega is angular frequency
phi is phase offset
y0 is the mid-line offset
In any case, your sine curve should vertically range from y0 - A to y0 + A.
Tangents are a little more tricky, since they aren't waves, but rather "heart monitor curves". The y-value where the argument = 0 will equal y0. The y-value where argument = Pi/4 will be y0 + A, and the y-value where argument = -Pi/4 will be y0 - A. Vertical asymptotes occur everywhere where the argument = every odd multiple of Pi/2.
Your trigonometric function should have a period given by 2*Pi/omega. Crunch this value and you will know how long to draw one period.
To sketch sine curves, you can usually get a clue by knowing the meanings of terms in the general equation.
y = A*sin(omega*theta + phi) + y0
A is amplitude
omega is angular frequency
phi is phase offset
y0 is the mid-line offset
In any case, your sine curve should vertically range from y0 - A to y0 + A.
Tangents are a little more tricky, since they aren't waves, but rather "heart monitor curves". The y-value where the argument = 0 will equal y0. The y-value where argument = Pi/4 will be y0 + A, and the y-value where argument = -Pi/4 will be y0 - A. Vertical asymptotes occur everywhere where the argument = every odd multiple of Pi/2.
Your trigonometric function should have a period given by 2*Pi/omega. Crunch this value and you will know how long to draw one period.
y = A*sin(omega*theta + phi) + y0
A is amplitude
omega is angular frequency
phi is phase offset
y0 is the mid-line offset
In any case, your sine curve should vertically range from y0 - A to y0 + A.
Tangents are a little more tricky, since they aren't waves, but rather "heart monitor curves". The y-value where the argument = 0 will equal y0. The y-value where argument = Pi/4 will be y0 + A, and the y-value where argument = -Pi/4 will be y0 - A. Vertical asymptotes occur everywhere where the argument = every odd multiple of Pi/2.
Your trigonometric function should have a period given by 2*Pi/omega. Crunch this value and you will know how long to draw one period.
To sketch sine curves, you can usually get a clue by knowing the meanings of terms in the general equation.
y = A*sin(omega*theta + phi) + y0
A is amplitude
omega is angular frequency
phi is phase offset
y0 is the mid-line offset
In any case, your sine curve should vertically range from y0 - A to y0 + A.
Tangents are a little more tricky, since they aren't waves, but rather "heart monitor curves". The y-value where the argument = 0 will equal y0. The y-value where argument = Pi/4 will be y0 + A, and the y-value where argument = -Pi/4 will be y0 - A. Vertical asymptotes occur everywhere where the argument = every odd multiple of Pi/2.
Your trigonometric function should have a period given by 2*Pi/omega. Crunch this value and you will know how long to draw one period.
y = A*sin(omega*theta + phi) + y0
A is amplitude
omega is angular frequency
phi is phase offset
y0 is the mid-line offset
In any case, your sine curve should vertically range from y0 - A to y0 + A.
Tangents are a little more tricky, since they aren't waves, but rather "heart monitor curves". The y-value where the argument = 0 will equal y0. The y-value where argument = Pi/4 will be y0 + A, and the y-value where argument = -Pi/4 will be y0 - A. Vertical asymptotes occur everywhere where the argument = every odd multiple of Pi/2.
Your trigonometric function should have a period given by 2*Pi/omega. Crunch this value and you will know how long to draw one period.