Finding Exact Value using Trig Identities and Complementary Angle Theorem

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SUMMARY

The discussion centers on finding the exact value of cot(π/2 - x) given that tan(x) = 10. The key trigonometric identity used is cot(π/2 - x) = tan(x), which directly leads to the conclusion that cot(π/2 - x) equals 10. This identity simplifies the problem significantly, allowing for a straightforward solution.

PREREQUISITES
  • Understanding of trigonometric identities
  • Knowledge of tangent and cotangent functions
  • Familiarity with complementary angles in trigonometry
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the derivation and applications of trigonometric identities
  • Learn about complementary angle relationships in trigonometry
  • Explore advanced trigonometric functions and their properties
  • Practice solving trigonometric equations involving multiple identities
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Students studying trigonometry, educators teaching trigonometric concepts, and anyone looking to improve their problem-solving skills in mathematics.

Dundee3
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Hey guys, I've been trying to wrap my mind around this problem but I've really come up short.

Any help would be amazing.

If tanX=10 Find the exact value of cot(pi/2 - x)
 
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Dundee3 said:
Hey guys, I've been trying to wrap my mind around this problem but I've really come up short.

Any help would be amazing.

If tanX=10 Find the exact value of cot(pi/2 - x)

Among the identities You find in...

List of trigonometric identities - Wikipedia, the free encyclopedia

... there is $\displaystyle \cot (\frac{\pi}{2} - x) = \tan x$...

Kind regards

$\chi$ $\sigma$
 
Brilliant. Simply brilliant.

Thank you!
 

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