Question ,trigonometric identities equation and functions ?

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SUMMARY

The discussion clarifies the distinctions between trigonometric identities, equations, and functions. Trigonometric identities, such as sin²(θ) + cos²(θ) = 1, hold true for all values of θ, while equations like sin(θ) = cos(θ + x) are valid for specific values of θ. Participants express interest in applying numerical methods to trigonometric functions, specifically in solving equations involving trigonometric ratios. An example provided is to evaluate sin(θ) = cos(θ + 30°) using various values of θ.

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  • Understanding of trigonometric identities and equations
  • Familiarity with trigonometric functions and their properties
  • Basic knowledge of numerical methods
  • Ability to manipulate and evaluate trigonometric expressions
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  • Explore numerical methods applicable to trigonometric functions
  • Learn how to solve trigonometric equations using numerical techniques
  • Investigate the application of the Newton-Raphson method for trigonometric equations
  • Practice evaluating trigonometric identities and equations with various angle values
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Students, educators, and professionals in mathematics or engineering fields who seek to deepen their understanding of trigonometric concepts and their applications in numerical methods.

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what is the difference between trigonometric identities , equations and functions ...?

is it possible to apply some numerical method on a trigonometric function ??

i was looking for an example where numerical methods could be applied on a trigonometric function ...

i am not sure what you could achieve with that at this point of time...

also ... is this a trigonometric function ??

f(x) = A sin (kx-wt)

??
 
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Identities like sin^theta + cos^2 theta = 1 are true for all values of theta. Equations like sin theta = cos (theta +x) is true for some value or values of theta only. Any function involving trigonometric ratios of variable can be called trigonometric function. Yes I think numerical methods can be applied here. try to apply it to solve the equation quoted in this post.
 
Let'sthink said:
Identities like sin^theta + cos^2 theta = 1 are true for all values of theta. Equations like sin theta = cos (theta +x) is true for some value or values of theta only. Any function involving trigonometric ratios of variable can be called trigonometric function. .

thanks for that ...

i am not familiar with the numerical methods associated with trigonometry right now ...

could someone tell me few examples of it ??
 
just put different values of theta and take some say x = 30 degree. and check when sin theta = cos(theta+30).
 
thanks for the answers ..

i will surely try when i get some free time ...
 

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