Convert r = 8cos θ to rectangular form.

This is a circle with radius and center .

Step-by-step explanation:

Recall the following:

We are given .

Multiply both sides by :

Reorder on right and simplify on left:

We can now make some replacements from our "Recall" section:

We can probably leave like this, but sometimes we are required to put in a more identifying form.

This is a circle. I'm going to write in the form .

Subtract on both sides:

We are going to fill those "blanks" in so that we can complete the square for the part.

So our equation is that of a circle with radius and center .

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step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.