Hey, I think I am pretty sussed out on all of this, but it's best to be 100% sure right?(adsbygoogle = window.adsbygoogle || []).push({});

Inverse: Does the opposite operation of a function

[tex]Sin(\theta) = \frac{a}{b}[/tex]

so:

[tex]Arcsin(\frac{a}{b})=\theta[/tex]

My own example

[tex]f(x)=x^{2}[/tex]

so:

[tex]f^{-1}(x)=\sqrt{x}[/tex]

So Arctan, Arcsin and Arccos are all INVERSE functions

Reciprocal notation of those functions:

[tex]csc(\theta)=\frac{1}{cos(\theta)} [/tex]

This isnt inverse, right? when people use these they genuinely mean reciporical, and not inverse?

Also, just so I know my maths is ok with working with these:

Example usage

[tex] Cos(\frac{\pi}{2}) = \frac{30}{x} [/tex]

So:

[tex] x = 30*Csc(\frac{\pi}{2}) [/tex]

Ive tried to lay this out as easily to read as possible, I am pretty sure of my abilities with maths (I do chemistry at uni) but I sometimes get confused, and I like to be fully certain of stuff I do rather then waffleing to a maths lecturer "Oh yeah Csc is a inverse function" for him to go "No...its a reciprocal" rather pedantically.

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# Trigometric functions - Inverse/Recriprocal

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