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antoniya [11.8K]
2 years ago
7

Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}

Mathematics
1 answer:
Bogdan [553]2 years ago
7 0

Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

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aksik [14]

Answer:

240

Step-by-step explanation:

40+30+20=90

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So hip hop and rock combined are voted by 60 students.

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5 0
2 years ago
A summary measure that is computed to describe a population characteristic from a sample is called a: A) statistic. B) census. C
Juliette [100K]

Answer:

A. Statistic

Step-by-step explanation:

Usually whole population is difficult to cover so the part of population is considered to assess the aspects of population. The statistic is the quantity which summarizes the sample. The problem illustrate that summary measure is calculated from sample to describe a population. As the summary measure is computed from sample then it is a statistic.

5 0
3 years ago
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n200080 [17]
For this case we first write the equation of which we will use:
 I (db) = 10log (l / l)
 We substitute the value of l.
 We have then:
 l = 10 ^ 8lo
 Substituting in the given equation:
 I (db) = 10log ((10 ^ 8lo) / lo)
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 I (db) = 10 * log (10 ^ 8)
 I (db) = 80
 Answer:
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 option 4
4 0
3 years ago
What is the slope of the line with the equation of y = 3/4 x that passes through the point (2, 1)?
Nadusha1986 [10]

Answer:

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Step-by-step explanation:

the slope is just what is attached to the x

3 0
3 years ago
the length of a rectangle is 9 cm and the diagonal of the rectangle is 11 cm. Find the width of the rectangle​
ss7ja [257]

Answer: The width  is the square root of 40 or 6.32

Step-by-step explanation:

9^2 + b^2 = 11^2  where b squared is the width  

81 + b^2 = 121

-81              -81

  b^2 = 40

b= 6.32

7 0
3 years ago
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