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Homework Help!
Okay, this is for any math junkies out there. In the function sin(x), how do you find sin(x) when you know theta? And how are you supposed to adjust the rule for each quadrant (or quarter) of the graph? I would appreciate any help I can get, and no, this problem is not on hotmath.com.
I'm desparate!
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When you're given the angle, you use a calculator. Sin(x) is the ratio between the sides opposite to the angle and the hypotenuse.
You don't have to adjust for other quadrants.
Make sure that if you're given theta in radians, you have your calculator set to radians. If it's given in degrees, you can just use the normal DEG setting.
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Sine of theta is equal to the length of the side opposite of theta divided by the length of the hypotenuse.
sin A = opposite/hypotenuse
cos A = adjacent(not hypotenuse)/hypotenuse
tan A = opposite/adjacent
The hypotenuse is always the longest side and it is always across from the right angle.
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You can use these equations to find the lengths of sides of the triangle that you don't have and missing angles too! Remember that the two angles that aren't the marked right angle will add up to be 90 degrees together because in a triangle, all angles must add up to 180 degrees. So, if you have one of the angles, you can just subtract that angle from 90 to get the other angle. Good luck :)
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