MHB Finding Exact Value using Trig Identities and Complementary Angle Theorem

AI Thread Summary
To find the exact value of cot(pi/2 - x) when tanX=10, the complementary angle theorem can be applied. The identity cot(pi/2 - x) equals tan x is crucial here. Since tanX is given as 10, it follows that cot(pi/2 - x) also equals 10. This straightforward application of trigonometric identities simplifies the problem significantly. The discussion highlights the utility of trigonometric identities in solving such problems effectively.
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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