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erastovalidia [21]
3 years ago
15

Which basic trigonometric identity would you use to verify that tan x cos x =sin x

Mathematics
1 answer:
True [87]3 years ago
7 0

Answer:

\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}

Step-by-step explanation:

\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}

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Write and solve an inequality to fit each phrase; the product of -7 and a number is no more than 77
erastovalidia [21]

Answer:

<em>- 7n ≤ 77</em>

Step-by-step explanation:

<em>- 7n ≤ 77</em>

n ≥ - 11

7 0
3 years ago
coach cliffman made a deposit of $1,800 into an account that earns 2% annual simple interest. find the amount of interest that c
igomit [66]
He earns $36 after 3 years
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2 years ago
Give the domain and range. domain: {2, 0, 2}, range: {1, 0, 1}
Leona [35]
<h2>Domain: {0, 2}</h2><h2>Range: {0, 1, 1}</h2><h2 /><h3>When dealing with the domain, remember that no numbers can repeat in the domain so if there is more than one of the same number, we only list it one.</h3><h3 /><h3>When dealing with the range, it's ok if numbers repeat because it's the y-value not the x-value.</h3><h3 /><h3 />
5 0
3 years ago
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
Rama09 [41]

Check the picture below.

now, we have a triangle with all three sides, thus we can use Heron's Area Formula on the triangle.

\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=10\\ b=26.695\\ c=22\\ s=29.3475 \end{cases} \\\\\\ A=\sqrt{29.3475(29.3475-10)(29.3475-26.695)(29.3475-22)} \\\\\\ A=\sqrt{29.3475(19.3475)(2.6525)(7.3475)}\implies A\approx \sqrt{11066.007} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A\approx 105.195~\hfill

4 0
3 years ago
I just need examples of these things, I have to make my own problems and solve them:
poizon [28]
1) x+17=20
x-10=30

2) x/4=20
x/30=2

3) 4(x+5)=40

4) x+3.2=6

5) A pizza place sells pizza for $5 per box. If I had $20 how many pizzas can I buy in all? (5x=20)

Hope this helps! Have a wonderful day.
6 0
3 years ago
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