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2 years ago

Explain why there are two sine ratios, two cosine ratios, and two tangent ratios for any right triangle

Mathematics

2 answers:

Elis [28]2 years ago

6 0

Answer with explanation:

There are two sine ratios, two cosine ratios, and two tangent ratios for any right triangle. It totally depends where the terminal side of right triangle lies. If it lies in first quadrant all trigonometric ratios will be positive .In second quadrant Sine and Cosecant of any angle will be positive.In Third tan and cot of any angle will be positive.And in fourth Quadrant secant and cos of any angle will be positive.So, there is one positive and one negative value of any of the trigonometric function.That's why all the trigonometric function have two real values.

taurus [48]2 years ago

5 0

Each angle has a sin, cos, and tan associated with it.
in a right angled triangle there are two other angles which each have ratios.

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How long is bob's journey from aberystwyth to shrewsbury

steposvetlana [31]

Answer: bob will take a while

Step-by-step explanation:

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1 year ago

A carpenter is framing an opening in a wall to hang a rectangular door. Which properties must the door frame have to ensure that

tigry1 [53]

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2 years ago

Read 2 more answers

What is the present value of a $50,000 decreasing perpetuity beginning in one year if the discount rate is 7% and the payments d

Trava [24]

Answer:

Present Value = $1666666.67

Step-by-step explanation:

Present Value of a Growing Perpuity is calculated using the following formula

PV =D/(r - g)

Where D = Dividend

r = Discount Rate

g = Growth rate

D = $50,000

r = 7%

r = 7/100

r = 0.07

g = 4%

g = 4/100

g = 0.04

PV = D/(r-g)

Becomes

PV = $50,000/(0.07-0.04)

PV = $50,000/0.03

PV = $1,666,666.67

So the Present Value of the perpuity is $1,666,666.67

4 0

2 years ago

Two cross sections of a right hexagonal pyramid are obtained by cutting the pyramid with planes parallel to the hexagonal base.

Tanya [424]

Answer:

The larger cross section is 24 meters away from the apex.

Step-by-step explanation:

The cross section of a right hexagonal pyramid is a hexagon; therefore, let us first get some things clear about a hexagon.

The length of the side of the hexagon is equal to the radius of the circle that inscribes it.

The area is

$A=\frac{3\sqrt{3} }{2} r^2$

Where $r$ is the radius of the inscribing circle (or the length of side of the hexagon).

Now we are given the areas of the two cross sections of the right hexagonal pyramid: $A_1=216\:ft^2\: \:\:\:A_2=486\:ft^2$

From these areas we find the radius of the hexagons:

$r_1=\sqrt{\frac{2A_1}{3\sqrt{3} } } =\sqrt{\frac{2*216}{3\sqrt{3} } }=\boxed{9.12ft}$

$r_2=\sqrt{\frac{2A_2}{3\sqrt{3} } } =\sqrt{\frac{2*486}{3\sqrt{3} } }=\boxed{13.68ft}$

Now when we look at the right hexagonal pyramid from the sides ( as shown in the figure attached ), we see that $r_1$ $r_2$ form similar triangles with length $H$

Therefore we have:

$\frac{H-8}{r_1} =\frac{H}{r_2}$

We put in the numerical values of $r_1$ , $r_2$ and solve for $H$ :

$\boxed{H=\frac{8r_2}{r_2-r_1} =\frac{8*13.677}{13.68-9.12} =24\:feet.}$

8 0

2 years ago

Joe walks on a treadmill at a constant rate. The equation below describes the relationship between t, the time he walks in hours

STALIN [3.7K]

Answer: A

Step-by-step explanation:

CORRECTED QUESTION

Joe walks on a treadmill at a constant rate. The equation d=4t describes the relationship between t, the time he walks in hours, and d, the distance he walks in miles. Which of the graph best describes the relationship?

The equation d=4t is a linear equation.

When t=1, d=4 X 1 =4

When t=2, d=4 X 2 =8

The correct graph that satisfies this pair is A (as seen in the diagram)

4 0

2 years ago