- #1
janemba
- 39
- 0
how do you find the derivative of this problem and what rule do you use
lim sin(pi+h)-Sin pi
h-> 0 h
lim sin(pi+h)-Sin pi
h-> 0 h
How do you find a dervative of this
- Thread starter janemba
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SUMMARY
The discussion focuses on finding the derivative of the function sin(π + h) using the limit definition of a derivative. The key steps involve recognizing that sin(π) equals 0, simplifying the expression to lim (sin(π + h)/h) as h approaches 0. Participants emphasize the use of trigonometric identities, specifically the sine addition formula, to further analyze the function. Understanding the unit circle is also highlighted as a crucial concept for visualizing the behavior of sine functions during rotations.
PREREQUISITES- Understanding of limits in calculus
- Familiarity with trigonometric identities, particularly the sine addition formula
- Basic knowledge of derivatives and their definitions
- Concept of the unit circle and its significance in trigonometry
- Study the limit definition of derivatives in calculus
- Learn about the sine addition formula and its applications
- Explore the unit circle and its role in understanding trigonometric functions
- Practice finding derivatives of trigonometric functions using various rules
Students studying calculus, mathematics educators, and anyone interested in deepening their understanding of trigonometric derivatives and limits.
- #2
tiny-tim
Science Advisor
Homework Helper
- 25,837
- 258
… sinπ = 0 …
Hi janemba!
Do you mean \frac{sin(\pi + h) -sin\pi}{h} ?
If so, remember that sinπ = 0, so it's just \frac{sin(\pi + h)}{h}\,.
Which is … ?
Hi janemba!
Do you mean \frac{sin(\pi + h) -sin\pi}{h} ?
If so, remember that sinπ = 0, so it's just \frac{sin(\pi + h)}{h}\,.
Which is … ?
- #3
janemba
- 39
- 0
yes but how did you got the answer
- #4
rocomath
- 1,752
- 1
How do you expand:
sin(x+y)=?
Trig identity ...
sin(x+y)=?
Trig identity ...
- #5
Gib Z
Homework Helper
- 3,341
- 7
It's even simpler than that, take a look at a unit circle and think about what happens with every rotation of pi radians.
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