Standard answer for integral of cos(2deta)cos(ndeta)

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SUMMARY

The integral of cos(2deta)cos(ndeta) from 0 to 180 degrees can be simplified using trigonometric identities. Specifically, the product-to-sum identities can transform the integral into a more manageable form. For the integral of sin(ndeta)sin(deta), the result is 90 degrees when n=1 and 0 when n is not equal to 1. Understanding these relationships is crucial for solving similar integrals effectively.

PREREQUISITES
  • Trigonometric identities, specifically product-to-sum identities
  • Basic integration techniques, including integration by parts
  • Understanding of definite integrals and their properties
  • Familiarity with variable notation in calculus
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  • Study product-to-sum identities in trigonometry
  • Practice integration by parts with various functions
  • Explore definite integrals and their applications in calculus
  • Review common trigonometric integrals and their solutions
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Students and professionals in mathematics, particularly those focusing on calculus and trigonometry, as well as educators seeking to clarify integral concepts.

stan
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Hi

does anyone knows the standard answer for

integral of cos(2deta)cos(ndeta) from 0 to 180 degress?

for instance for integral of sin(ndeta)sin(deta) 0 to 180 degress, when n=1, it is 90 degress and when n not equals 1, it is 0...

thanks
 
Physics news on Phys.org
Have you tried using integration by parts?
 
What's a "deta" or an "ndeta"? What's your variable of integration?

You might want to review your trig identities... there's one that makes this kind of integral really easy.
 

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