explain the difference between using the trigonometric ratios (sin,cos,tan) to solve for a missing angle in a right triangle versus using the reciprocal ratios (sec,csc,cot). you must use complete sentences and any evidence needed (such as example) to prove your point of view.
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well \[ \sin = opposite/hypotenuse \]But \[ \csc = hypotenuse / opposite \]
So you can use \[ hypotenuse \times \sin = opposite \]if you want to find the opposite side length and have hypotenuse. You can use \[ opposite \times \csc = hypotenuse \]If you want to find the hypotenuse and have the opposite side.
but what is the difference of the two when you want to find an angle
and in a right triangle
in that case, it doesn't really matter.
ok.. so the explaination that you gave me was to find an angle right?
we dont have to find a side we have to find a missing angle.... @wio
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@IMStuck hi can you pleae help me
Oh, I will definitely try. Let me do some dwelling first...
ok thankyou @IMStuck just please dont forget to come back
When you use the trig functions as opposed to their cofunctions, there are no fractions involved. When you use cofunctions, such as sec, csc, and cot, you are involving fractions. For example, in this triangle|dw:1403657147415:dw|
So to find the sin of an angle using csc, you have to take the reciprocal of the result. It is the same with all the functions and their cofunctions. They are reciprocals.
ok thank you so much!!!
Does that help you in your endeavors to answer this correctly?
yes it does unless you have something else to say
wait does it turn into a negative @IMStuck
no. They are not opposite reciprocals, only reciprocals.
ok thank you so much
You're very welcome!
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