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izen
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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
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In summary, trigonometry identities are mathematical equations that express a relationship between different trigonometric functions. They are used to simplify and solve trigonometric expressions and equations. One example is the sum of angles formula, which states that the sine of the sum of two angles is equal to the sum of the products of the sine and cosine of each angle. The constant pi (π) is also significant in trigonometry identities as it represents the ratio of a circle's circumference to its diameter and is used to measure angles in radians. Trigonometry identities have practical applications in various fields such as physics, engineering, and navigation. To remember them, it is helpful to understand the underlying concepts and practice using them in different types of problems.
Hi guys, How can sin(∏)cos(ω∏)-cos(∏)sin(ω∏) = sin(ω∏)? please guide me trigonometry identity to apply with this?
- #2
Dick
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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
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Dick said:
Ohhh :shy: Just been thinking about using trig identity, thank you Dick !
FAQ: Trigonometry identity sin(pi)cos(wpi)+cos(pi)sin(wpi)
What is the purpose of trigonometry identities?
Trigonometry identities are mathematical equations that express a relationship between different trigonometric functions. They are used to simplify and solve trigonometric expressions and equations.
What is the meaning of sin(pi)cos(wpi)+cos(pi)sin(wpi)?
This expression is an example of a trigonometric identity known as the sum of angles formula, which states that the sine of the sum of two angles is equal to the sum of the products of the sine and cosine of each angle.
What is the significance of pi in trigonometry identities?
Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is used in trigonometry identities because angles in trigonometry are often measured in radians, which are based on the concept of a circle.
How can trigonometry identities be useful in real-world applications?
Trigonometry identities have many practical applications, such as in physics, engineering, and navigation. They are used to solve problems involving angles, distances, and forces in various fields.
Are there any tips for remembering trigonometry identities?
One helpful tip for remembering trigonometry identities is to understand the underlying concepts and relationships between different trigonometric functions. It can also be helpful to practice using them in different types of problems to reinforce your understanding.