SOLUTION: the point (-3,3) is on the terminal is of an angle theta. find cos theta

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Question 972189: the point (-3,3) is on the terminal is of an angle theta. find cos theta
Found 2 solutions by lwsshak3, ikleyn:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
The point (-3,3) is on the terminal is of an angle theta. find cos theta
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hypotenuse of reference right triangle in quadrant II=√((3^2)+(-3)^2)=√18
cos theta=-3√18=-3√18/18

Answer by ikleyn(53875) About Me  (Show Source):
You can put this solution on YOUR website!
.
the point (-3,3) is on the terminal is of an angle theta. find cos(theta)
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In the post by @lwsshak3,  the answer is   -%283%2Asqrt%2818%29%29%2F18.

This answer is formally correct,  but this is not a simplest form,  which is expected.

The simplest form,  after reducing fraction,  is   -sqrt%282%29%2F2.


Simply, @lwsshak3 uses a computer code, which does not see further simplifications,
as well as does not have a motivation for seeking such simplifications.

His computer code has no a human feature called "curiosity" - therefore, in particular,
it has limited skills/abilities comparing with a real normal or advanced human.


In general, I think that a computer code can/may become a real secure artificial intelligence,
only if and when it will have many or all human features, including ability to THINK logically,
to look forward and to seek for advances and to have such features as curiosity, human moral and ethical restrictions.