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1 answer:
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The Trigonometric Pythagorean Theorem is always true:
If we solve for we get
We know
so both sides are clearly between zero and one.
It's actually much better to do geometry using squared sine, but that's a topic for another day. It comes from replacing angle, a complicated directed meeting of two rays, with the intersection of two lines. Among many advantages, this eliminates quadrants.
But we know sine and cosine can be positive or negative. So we need the multivalued square root:
The means that it might be plus, it might be minus, if you just tell me the cosine there's not (usually) enough information to know which.
So yes, sometimes
That's a negative sine. If the cosine is positive, is in the fourth quadrant. If the cosine is negative,
is in the third quadrant.
Answer:
Step-by-step explanation:
Let the third side be x
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = ()², that is
x² + 81 = 91 ( subtract 81 from both sides )
x² = 10 ( take the square root of both sides )
x =