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AfilCa [17]
3 years ago
14

For sin2x+cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation

in the interval [0,2π).
Mathematics
1 answer:
Archy [21]3 years ago
4 0

Answer:

Step-by-step explanation:

Given is a trignometric equation in x, as

sin2x+cosx=0

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

2sinxcosx+cosx=0\\

cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\

Principal solution is x=\frac{\pi}{2} , \frac{-\pi}{6}

x = ±π/2 + 2kπ, where k is any integer or

x=±pi/6 +k pi, where k is any integer.

General solution is

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Solve the following equations.<br> 3 ⋅ 62^x = 648
gayaneshka [121]

Answer:

x=1.56861

Step-by-step explanation:

62^x=648

By using logarithms it becomes easier to solve this question because of the properties they have

From the property of logarithms

loga^x=xloga

Take logarithms on both sides

log62^x=log648

\Rightarrow xlog62=log648

\Rightarrow x=\frac{log648}{log62}

\Rightarrow x=1.56861

x=1.56861

7 0
3 years ago
A farmer recently purchased his
IgorC [24]

Answer:

la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:

4 0
3 years ago
Write a sentence to answer each question:<br><br> How much warmer is 82 than 40?
Lostsunrise [7]

Answer:

82 is 42 degrees warmer than 40

Step-by-step explanation:

if you subtract 40 from 82, you get 42 meaning that the answer will be 42 degrees more than 40

8 0
3 years ago
An experiment was conducted to evaluate the success of an Ebola virus vaccine. The subjects were unaware of the treatment they w
Irina-Kira [14]

Answer:

your answer would be

B complexity

I agree that it is B but would suggest that you also consider the implications of each answer. They are all technically correct.

A is correct simply due to the fact that the longer time passes without an ebola cure, the more people can be potentially infected with it, resulting in less healthy individuals that may be able to volunteer to test potential ebola vaccines. Scientists need healthy volunteers from affected regions in order for rapid clinical trials to occur.

B is correct because of the nature of epidemics. A combination of technical, social, economic, and geographical obstacles slow the progress and dissemination of ebola vaccine information.

C is correct because finance impacts everything from finding resources used in studying ebola to distributing vaccines to affected areas. Economic imbalances or money shortages negatively impact research.

D is correct due to many social factors (more of a subjective answer). Some people think that vaccine distributors discriminate against certain ethnic groups. Others think the governments/other organizations are not effective enough at managing the situation. Still others feel that the search for a cure is not being approached in the right way. In all, there are multiple ways to oppose different aspects of ebola research.

Ultimately, B is correct because it seems to capture the meaning of A, C, and D together. 

6 0
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Anna picked 200 apples at a orchard. 40% where green. How many green apples for annabelle pick.
nadya68 [22]

Answer:

80

Step-by-step explanation:

I used a calculator to solve

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3 years ago
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