## Given that ×=tan theta find arcot x in terms of theta

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.
10samfam
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### Given that ×=tan theta find arcot x in terms of theta

Help with an inverse cot question:

The question states that given that ×=tan theta find arcot x in terms of theta

little_dragon
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Joined: Mon Dec 08, 2008 5:18 pm
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### Re: Given that ×=tan theta find arcot x in terms of theta

Given that × = tan(@), find arcot(x) in terms of @
i'm using "@" for "theta"
do the regular placeholder triangle:

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```triangle: . , '| , ' | , ' | x , '@ | *----------------* 1```
so tan(@) = x/1 = x
every triangle has 180* angle sum & this is a right triangle
get an expression in "@" for the third angle (at the top right)
then do the arccot(x)
(or use one of the idents here: http://brownmath.com/twt/inverse.htm )
(in the box just above "Functions of Arcfunctions")