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2 years ago

How do you do, csc2x-cot2x = tanx

1 answer:

8 0

$csc2x-cot2x=tanx \\ \\ (\frac{1}{2}cscxsecx) -( \frac{cotx-tanx}{2} )=tanx \\ \\ (\frac{cscxsecx}{2}) -( \frac{cotx-tanx}{2} )=tanx \\ \\ (\frac{ \frac{1}{sinx} \frac{1}{cosx} }{2}) -( \frac{cotx-tanx}{2} )=tanx \\ \\ (\frac{1}{2(sinxcosx)}) -( \frac{cotx-tanx}{2} )=tanx \\ \\ (\frac{1}{2(sinxcosx)}) -( \frac{(sinxcosx)*cotx-tanx}{2*(sinxcosx)} )=tanx \\ \\ \frac{1-(cos^2x-sin^2x)}{2(sinxcosx)} =tanx \\ \\ \frac{1-cos^2+sin^2x}{2(sinxcosx)}=tanx$

$\frac{sin^2x+sin^2x}{2(sinxcosx)} =tanx \\ \\ \frac{1-cos2x}{sin2x} =tanx \\ \\ \frac{sin2x}{cos2x+1}=tanx \\ \\ tanx=tanx$

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. A conductor with a diameter of 100 mils has an area of

Zielflug [23.3K]

In order to answer the question, you need to know the area of a circle.
Area = pi * r^2
Area = 3.14 * (100/2) ^ 2
Area = 3.14 * 50^2
Area = 7850 mils^2 = 0.00785 in^2

7 0

2 years ago

You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to come up with a unit price for

kotegsom [21]

Answer:

q(p)= -3000p+12000

Step-by-step explanation:

For the function to be linear,

q(p)= mp + c

where

q(p): number of hamburgers sold

p: price per hamburger

m: gradient of the function

c: constant of the function

q(p)=6000 when p=2

6000=2m+c .................... equation I

0=4m+c

c=-4m........................ equation II

Substitute value of c in equation I

6000=2m-4m

m= -3000

c=12000

q(p)= -3000p+12000

6 0

2 years ago

Write -2x 2(-5x 2 +4x 3) in standard form.

Anvisha [2.4K]

This in standard form is -28x + 10.

6 0

2 years ago

You launch a water balloon. The function h=-0.08t^2+1.6t+2 models the height h (in feet) of the water balloon after t seconds. W

stellarik [79]

Answer:

The initial height of the balloon is 2 feet.

Step-by-step explanation:

The height of the balloon in feet after t seconds is given by the following equation:

$h(t) = -0.08t^{2} + 1.6t + 2$

What is the initial height of the balloon?

This is h when t = 0, that is, h(0). So

$h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2$

The initial height of the balloon is 2 feet.

4 0

2 years ago

Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon

Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

$=1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412$

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

$=12\times0.4412\\=5.2944\\\approx5$

Thus, the number of people of the twelve who will win a prize is 5.

3 0

2 years ago