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3 years ago

What is the range of this graph ?

Mathematics

1 answer:

Maslowich3 years ago

7 0

Answer:

D. 6

Step-by-step explanation:

Range of any data set is the difference between the maximum value and the minimum value.

From the graph given above, the least data value plotted on the graph is 1.

Minimum value = 1

The maximum data value = 7

The range of the data set = max - min

Range = 7 - 1

Range = 6

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How do you simplify this trigonometric expression? <img src="https://tex.z-dn.net/?f=%5Cfrac%7Btan%28%5Calpha%29%20%7D%7Bsec%28%

Julli [10]

Answer:

csc(α)

Step-by-step explanation:

We are given $\frac{tan(\alpha) }{sec(\alpha)-cos(\alpha ) }$ .

One key trick when dealing with trig is to write all the functions in terms of cosine and sine.

Tangent (tan) is sine / cosine, secant (sec) is 1 / cosine. So, replace these:

$\frac{tan(\alpha) }{sec(\alpha)-cos(\alpha ) }=\frac{\frac{sin(\alpha )}{cos(\alpha )} }{\frac{1}{cos(\alpha) }-cos(\alpha ) }$

In the denominator, let's find a common denominator and subtract those:

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Remember the trig identity that sin²(α) + cos²(α) = 1, so we know that 1 - cos²(α) = sin²(α). Plug this into the equation:

$\frac{1-cos^2(\alpha) }{cos(\alpha) }=\frac{sin^2(\alpha )}{cos(\alpha) }$

We now have [sin(α)/cos(α)] / [sin²(α)/cos(α)]. The cos(α) in the top and bottom cancel out, and we are left with sin(α) / sin²(α) = 1 / sin(α).

Remember that cosecant is the opposite of sine, so 1/sin(α) = csc(α).

<em>~ an aesthetics lover</em>

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4 years ago

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vladimir1956 [14]

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A grocery store sells three different quantities of sugar. A 1-pound bag costs $1.10, a 2-pound bag costs $1.98, and a 3-pound b

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4 years ago

Write an inequality to represent the graph. a solid line passing through points 0 comma negative 7 and 3 comma negative 5 with s

lesantik [10]

Answer:

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Step-by-step explanation:

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mestny [16]

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