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2 years ago

12

Tan y+cot y= sec y x csc y prove the identity (y is the variable)

1 answer:

adell [148]2 years ago

3 0

Answer:

Step-by-step explanation:

tany+coty =

$\frac{siny}{cosy} + \frac{cosy}{siny}$ ·

$\frac{sin^{2}y + cos^{2}y }{cosysiny}$

$\frac{1}{cosysiny}$

$(secy) (cscy)$

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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

a cone with a radius of 3” has a total area of 24pie square inches. Find the volume of the cone. 12pie, 24 pie or 15 pie

Ratling [72]

Answer:

$12\pi (inches)^{2}$

Step-by-step explanation:

Given:

radius of cone = 3 inch

Total area of cone = $24\pi (inch)^{2}$

Find the volume of the cone?

We know the area of cone = $\pi r(r+s)$ -------(1)

Where r = radius

Ans s = side of the cone

Put the area value in equation 1

$24\pi=\pi r(r+s)$ -------(1)

$\frac{24\pi }{\pi r} =r+s$

$\frac{24}{ r}-r =s$

Put r value in above equation.

$s =\frac{24}{ 3}-3$

$s=8-3$

$s=5$

The side s = 5 inches

We know the side of the cone formula

$s^{2}=r^{2}+ h^{2}$

$h^{2}=s^{2}- r^{2}$

Put r and s value in above equation.

$h^{2}=5^{2}- 3^{2}$

$r^{2} = 25-9$

$r^{2} = 16$

$r = 4$

The volume of cone is

$V = \frac{1}{3} \pi r^{2} h$

Put r and h value in above equation.

$V = \frac{1}{3} \pi (3)^{2}\times 4$

$V = 12\pi (inches)^{2}$

The Volume of the cone is $12\pi (inches)^{2}$

7 0

3 years ago

What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.

kkurt [141]

$V=\pi r^2 h$
r - radius, h - height
The diameter is twice the radius.

$d=12 \ m \\
r=\frac{12}{2} \ m = 6 \ m \\
h=7 \ m \\ \\
V=\pi \times 6^2 \times 7=\pi \times 36 \times 7=252 \pi \approx 252 \times 3.14=791.28 \approx 791.3$

The answer is c. 791.3 m³.

3 0

3 years ago

Which expression is equivalent to 1/4n - 16?

Vladimir79 [104]

N-64

i hope this anserws your quieston.........

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3 years ago