-
Best of luck to the class of 2024 for their HSC exams. You got this! Let us know your thoughts on the HSC exams here -
YOU can help the next generation of students in the community! Share your trial papers and notes on our Notes & Resources page
Find the Maximum value and the Minimum value of y for (1 Viewer)
- Thread starter Utility
- Start date
Carrotsticks
Retired
- Joined
- Jun 29, 2009
- Messages
- 9,494
- Gender
- Undisclosed
- HSC
- N/A
3 methods of doing this.
1. Converting that expression into a single trigonometric expression using Auxiliary Angles, then finding the max/min of that. This is the easiest in my opinion because by simple inspection, we see that the Amplitude is going to be root 2.
2. Sketching y=sin(x) and y=-cos(x) and adding the two curves, but this is difficult because you wouldn't really have an exact answer due to human error.
3. Actually differentiating it and letting it be equal to 0 etc, and solving for x. Upon doing so, sub back into the equation and observe that the Y value is plus/minus root 2.
1. Converting that expression into a single trigonometric expression using Auxiliary Angles, then finding the max/min of that. This is the easiest in my opinion because by simple inspection, we see that the Amplitude is going to be root 2.
2. Sketching y=sin(x) and y=-cos(x) and adding the two curves, but this is difficult because you wouldn't really have an exact answer due to human error.
3. Actually differentiating it and letting it be equal to 0 etc, and solving for x. Upon doing so, sub back into the equation and observe that the Y value is plus/minus root 2.