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slega [8]
3 years ago
10

Sec (a) + tan (a) = sec (a) – tan (a)

Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Answer:

a = π n for n element Z

Step-by-step explanation:

Solve for a:

sec(a) + tan(a) = sec(a) - tan(a)

Subtract sec(a) - tan(a) from both sides:

2 tan(a) = 0

Divide both sides by 2:

tan(a) = 0

Take the inverse tangent of both sides:

Answer:  a = π n for n element Z

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OleMash [197]

Answer:

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

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Step-by-step explanation:

Initially , total home team fans =1000

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Given that

Every 10 minutes the number of arrival home team fans is 15.

Then in 1 minutes the number of arrival home team fans is \frac{15}{10}

and in 60 minutes the number of arrival home team fans is \frac{15 \times 60}{10}  

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Therefore total home team fans = (90+1000)=1090

Given that

Every 10 minutes 5 fans leave of away team  leave.

then in  1 minutes \frac{5}{10}  fans leave of away team  leave.

and In 60 minutes \frac{5\times 60}{10} =30  fans leave of away team  leave.

Since 30 away team fans leave.

Total away team fans = (700-30)=670

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=1090:670

=109:67

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