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2 years ago

If sin(x) =-1/2 and tan(x) is negative what is cos(2x)

Mathematics

1 answer:

Keith_Richards [23]2 years ago

3 0

Answer:

positive

Step-by-step explanation:

Using the acronym ASTC (all students take calculus), this means that if sin and tan are negative, they must be in the fourth quadrant, which means that cos is positive.

ASTC is an acronym to help students remember which of the three basic trigonometric functions are positive in which quadrants.

A: all

S: sin

T: tan

C: cos

It starts from the first quadrant: all the sin, tan, cos are positive in the first quadrant, only sin is positive in the second quadrant, only tan is positive in the third quadrant, only cos is positive in the fourth quadrant.

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Anika [276]

Answer:

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Step-by-step explanation:

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2 years ago

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Graph the equation y = 22 – 3

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Pls tell me how to convert a fraction into a decimal! I’m having sm trouble understanding:(

pogonyaev

Answer:

1. 0.875 2. 0.666… 3. 2.25 4. 0.8333…

Step-by-step explanation:

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5 0

2 years ago

△HFM∼△PST

loris [4]

Answer:

The perimeter of △HFM is 50.75 units

Step-by-step explanation:

<u><em>The correct picture of the question in the attached figure</em></u>

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

we have

△HFM∼△PST ----> given problem

step 1

Find the scale factor

Let

z ----> the scale factor

$z=\frac{HF}{PS}$

substitute the given values

$z=\frac{14}{8}=1.75$

step 2

Find the perimeter of triangle PST

Remember that the perimeter of a triangle is the sum of its three length sides

$P=8+9+12=29\ units$

step 3

Find the perimeter of triangle HFM

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

$29(1.75)=50.75\ units$

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3 years ago