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3 years ago

THE algebra tiles represent the perfect square trionmaial x^2+10x+c

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

3 0

$( { \frac{b}{2} )}^{2} = c \\ ( { \frac{10}{2}) }^{2} \\ ( {5)}^{2} \\ 25 = c$

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Step-by-step explanation:

I'm going to use $x$ instead of $\theta$ because it is less characters for me to type.

I'm going to start with the left hand side and see if I can turn it into the right hand side.

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I'm going to use a cofunction identity for the 2nd term.

This is the identity: $\tan(x)=\cot(\frac{\pi}{2}-x)$ I'm going to use there.

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I'm going to rewrite this in terms of $\sin(x)$ and $\cos(x)$ because I prefer to work in those terms. My objective here is to some how write this sum as a product.