• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

Investigating graph of trigonometric function

Extracts from this document...

Introduction

Investigating the graphs of trigonometric functions

Y=Sin x On the above, a normal sin curve on a scale of -2  <x<2  and -4<y<4

The curve shows an amplitude of 1 since the crest-the centreline gives a value of 1.

Middle     Therefore, considering the formula Y=a sin bX + c, we find that the letter a modifies the amplitude of the curve. For instance, if we increase its value, the curve will vertically stretch with an amplitude of the same value. If however we reduce the value, then the curve will vertically contract with an amplitude of the same value. Finally, if we inverse the sign of the amplitude for example we change ‘a’ into ‘-a’, then the curve will reflect through the centreline.

If we consider an infinitely extended

Conclusion

To conclude, we should say that we can predict the shape and position of the graph of y=Asin(B(x+C) from the above information on A, B and C. We could say anticipate the vertical stretch of the curve by modifying the magnitude of A and inverse it by making A negative. Also, we could increase or decrease the cycles of the curves according to its period by changing the value of B. Finally, we could decide the horizontal translation of the curve to the left by adding a given C value or to the right while subtracting a given value of C.

This student written piece of work is one of many that can be found in our International Baccalaureate Maths section.

Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

Related International Baccalaureate Maths essays

1. Mathematics Higher Level Internal Assessment Investigating the Sin Curve

In general it is observed that in the equation the period of the curve is given by . By changing the value of you can change the period of the graph. When you increase the the period of the graph decreases and when you decrease the the period of the graph increases.

2. Investigating Sin Functions

And as |A| decreases, the graph shrinks vertically by a factor of |A|, making the wave shorter, but not affecting it horizontally. • Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to
improve your own work 