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Burka [1]
3 years ago
7

The value of sin^2 30° - cos^2 30° is​

Mathematics
2 answers:
natulia [17]3 years ago
7 0

Answer:

-1/2

Step-by-step explanation:

Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.

With that being said:

sin^2 30 - cos^2 30

=  (1/2)^2 - ((sqrt3)/2)^2

= 1/4 - 3/4

= -1/2

Ber [7]3 years ago
7 0

Answer:

-1/2

Step-by-step explanation:

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What are the points of discontinutity y=(x-3)/x^2-12x+27
madreJ [45]

Answer:

(3, -\frac{1}{6})

Step-by-step explanation:

We can rewrite the equation as

y = \frac{x - 3}{(x - 3)(x - 9)}

Notice that we have x - 3 in both the numerator and the denominator, so it looks like we can divide it out. However, what if x - 3 is 0? Then we would have y = \frac{0}{0 \times (x - 9)} = \frac{0}{0}, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for x = 3, but this one is not).

A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at x = 3. In the simplified version of the function, if we plug in x = 3, we get

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So the point (3, -\frac{1}{6}) is our only point of discontinuity.

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Read 2 more answers
Determine algebraically all points where the graphs of XY equal 10 and Y equals X +3 intersect
Gelneren [198K]
XY=10
Y=X+3
X(X+3)=10
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X^2+3X-10
(X-2)(X+5)
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3 years ago
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