Extending SOH CAH TOA so that we can define trig functions for a broader class of angles
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AKSHAY SHARMA It can be used for ANY unit. So we just call it 1 "unit". Sal is focusing on the formulas and not the units, because the unit is not important here. But for other functions, yes, the unit will be important.
SOH CAH TOA
Use the side lengths of the right triangle.
Sin is OPPOSITE / HYPOTENUSE
Cosine is ADJACENT / HYPOTENUSE
Tangent is OPPOSITE / ADJACENT
Some old hippie, caught another hippie, trippin on acid.
Clash Mjrm so really it's the way u r seeing them is wrong , somebody must have noticed that if the angles of a right angle traingle is same , the are similar coz in a right angle triangle even if one angle except the 90° is equal , the triangles are similar... So as a right angle triangle that has a 60° must be similar to another one that has 60° , the must be have a eatio b/w them , that ratio depends on the triangles size but if u divide a side with another side , u get a specific ratio that is same for all the similar triangles .... so he named them sin cos and tan sin being the ratio of a right angle triangles opposite side to a specific angle and the hypotenouse and so on...
The unit circle always has a radius of 1 (think of the "unit" of the unit circle is 1) and sin=y and cos=x ONLY apply to the unit circle. There are circles that don't have the radius of 1, and in that case, I'm pretty sure you would have to use SOH CAH TOA.
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