Determine the 58th Sequence. 540, 495, 450, ...

Mathematics

1 answer:

Jet001 [13]3 years ago

8 0

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Cot y, if csc y =-10/3 and cos y< 0

fredd [130]

$\csc y=-\dfrac{10}3\implies\sin y=-\dfrac3{10}$

$\cos^2y=1-\sin^2y\implies \cos y=\pm\sqrt{1-\dfrac9{100}}=\pm\dfrac{\sqrt{91}}{10}$

You're told that $\cos y$ , so omit the positive root.

$\cot y=\dfrac{\cos y}{\sin y}=\dfrac{-\frac{\sqrt{91}}{10}}{-\frac3{10}}=\dfrac{\sqrt{91}}3$

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3 years ago

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Paul [167]

We'll assume this is an arbitrary triangle ABC.

A) No, the sines of two different angles can be whatever they want

B) sin(B)=cos(90-B)

Yes, that's always true. The "co" in cosine means "complementary" as in the complementary angle, which adds to 90. So the sine of an angle is the cosine of the complementary angle.

C) No, the correct identity is sin(180-B)=sin B. Supplementary angles share the same sine.

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3 years ago

Which description is correct for the polynomial 2x² + 2?

Blizzard [7]

Answer:

The polynomial is a quadratic binomial

Step-by-step explanation:

we have

$2x^{2}+2$