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Temka [501]
2 years ago
14

Verify the identity. sin() tan() = cos() use a reciprocal identity to rewrite the expression in terms of sine and cosine, and th

en simplify. sin
Mathematics
1 answer:
Andreas93 [3]2 years ago
4 0

The identity Sin(α)/Tan(α) = Cos(α) is valid

Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-

Sine Function:

sin(θ) = Opposite / Hypotenuse

Cosine Function:

cos(θ) = Adjacent / Hypotenuse

Tangent Function:

tan(θ) = Opposite / Adjacent

Lets prove this identity by proceeding with the LHS

= Sin(α)/Tan(α)

= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))

= Sin(α)xCos(α) / Sin(α)

= Cos(α)

Hence verified

Learn more about Trigonometric Ratios here :

brainly.com/question/13776214

#SPJ4

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Answer:

2/5

Step-by-step explanation:

m=change in y/change in x

m=y_{2} - y_{1}/x_{2}-x_{1}

m = 6-(4)/3-(-2)

m=2/3-(-2)

m= 2/3+2

m=2/5

6 0
2 years ago
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Please help me I suck at math ​
Firlakuza [10]

Answer:

1

Step-by-step explanation:

To find the slope of a line, you need to find how much it rises for a certain amount of run. Here, the line rises from -3 to 1, which is a rise of 4, while "running" from -1 to 3, or a run of 4. 4/4=1. Hope this helps!

7 0
3 years ago
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
yKpoI14uk [10]

Answer:

Confidence Interval in 95% confidence level for the quality rating is (6.06,7.46)

Step-by-step explanation:

Confidence Interval can be calculated using the formula M±ME where

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  • ME is the margin of error in a given confidence level

Using the sample obtained from 50 business travelers we get

  • Mean of the sample is 6.76
  • standard deviation of the sample is 2.526

Margin of error (ME) around the mean using the formula

ME=\frac{z*s}{\sqrt{N} } where

  • z is the corresponding statistic in 95% confidence level (1.96)
  • s is the standard deviation of the sample (2.526)
  • N is the sample size (50)

Using the numbers in the formula we get:

ME=\frac{1.96*2.526}{\sqrt{50} } ≈ 0.70

Then the confidence interval becomes 6.76±0.70

6 0
3 years ago
Simplify the following number by using the imaginary number i square root of -19
lakkis [162]

Answer:

Exact form:   -√19

Decimal form:  −4.35889894...

3 0
3 years ago
I have a square graph, but I would like to make the graph larger.
fenix001 [56]

FORMULA:

  • Area of ⬜ = (side)²

ANSWER:

We are given new side of square i.e, 2s + 3.

So, Area = (2s + 3)²

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  • 4s² + 9 + 12s

Hence, The area of the new graph is a perfect square trinomial: __4__s² + __12__s +__9__.

4 0
3 years ago
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