CAN SOMEONE HELP (AND HELP ME UNDERSTAND)
1 answer:
Consider angle XZY in the attached figure. It is always 1/2 the measure of arc XY, no matter where Z may be located on the major arc XZY. This is true even when ZY is very short.
Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.
Selection C is appropriate.
_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.
Now, consider what happens when Z falls on top of tangent point Y. The angle is still half the measure of arc XY, still 62°.
Selection C is appropriate.
_____
I apologize for any confusion caused by my choice of Z as the name of the point I added. Nothing in my explanation is intended to refer to the Z already shown in the unmodified figure.
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<h3>Answer: 8/17</h3>
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Explanation:
The rule is
If A+C = 90, then sin(A) = cos(C). We could also say cos(A) = sin(C).
I recommend drawing out the picture of what's going on. See below.
sin(A) = 8/17 has the opposite side 8 over hypotenuse 17.
cos(C) = 8/17 has 8 as the adjacent side now. The hypotenuse stays the same.
So that's why sin(A) = cos(C).
