- #1
izen
- 50
- 0
Homework Statement
Hi guys, How can sin(∏)cos(ω∏)-cos(∏)sin(ω∏) = sin(ω∏)? please guide me trigonometry identity to apply with this?
Trigonometry identity sin(pi)cos(wpi)+cos(pi)sin(wpi)
- Thread starter izen
- Start date
Click For Summary
SUMMARY
The trigonometric identity sin(π)cos(ωπ) - cos(π)sin(ωπ) simplifies to sin(ωπ) by substituting the known values sin(π) = 0 and cos(π) = -1. This identity is a direct application of the sine subtraction formula, confirming that the left-hand side equals the right-hand side. The discussion emphasizes the importance of recognizing fundamental trigonometric values in simplifying expressions.
PREREQUISITES- Understanding of basic trigonometric functions: sine and cosine
- Familiarity with trigonometric identities, specifically the sine subtraction formula
- Knowledge of the unit circle and key angle values
- Ability to manipulate algebraic expressions involving trigonometric functions
- Study the sine subtraction formula in detail
- Explore other trigonometric identities such as the cosine addition formula
- Practice simplifying trigonometric expressions using known values
- Learn about the unit circle and its application in trigonometry
Students studying trigonometry, educators teaching trigonometric identities, and anyone looking to strengthen their understanding of trigonometric functions and their applications.
Hi guys, How can sin(∏)cos(ω∏)-cos(∏)sin(ω∏) = sin(ω∏)? please guide me trigonometry identity to apply with this?
- #2
Dick
Science Advisor
Homework Helper
- 26,254
- 623
sin(pi)=0, cos(pi)=(-1). So, of course, sin(∏)cos(ω∏)-cos(∏)sin(ω∏) = sin(ω∏). I'm not sure what that has to do with what follows.
- #3
izen
- 50
- 0
Dick said:
Ohhh :shy: Just been thinking about using trig identity, thank you Dick !
Similar threads
- · Replies 2 ·
- · Replies 1 ·
- · Replies 11 ·
- · Replies 1 ·
- · Replies 7 ·
- · Replies 14 ·
- · Replies 6 ·
- · Replies 5 ·