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Effectus [21]
3 years ago
15

Six PRODUCT Identities involving the trigonometric ratios.

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0

Answer:

Defining relations for tangent, cotangent, secant, and cosecant in terms of sine and cosine

Step-by-step explanation:

<h2>HOPE THIS HELPS IM SINGLE 13 STRAIGHT AND IMMA GIRL ;)</h2>
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Find the angle between u = i+sqr of 7j and v = -i+9j. Round to the nearest tenth of a degree.
Zolol [24]

\bf ~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} u=i+\sqrt{7}j\implies &\\\\ v=-i+9j\implies & \end{cases} \\\\[-0.35em] ~\dotfill

\bf u\cdot v\implies (1)(-1)~+~(\sqrt{7})(9)\implies -1+9\sqrt{7}\implies 9\sqrt{7}-1~\hfill dot~product \\\\[-0.35em] ~\dotfill\\\\ ||u||\implies \sqrt{1^2+(\sqrt{7})^2}\implies \sqrt{1+7}\implies \sqrt{8}~\hfill magnitudes \\\\\\ ||v||\implies \sqrt{(-1)^2+9^2}\implies \sqrt{1+81}\implies \sqrt{82} \\\\[-0.35em] ~\dotfill

\bf \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{8}\cdot \sqrt{82}} \right)\implies \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{656}} \right) \\\\\\ \theta \approx cos^{-1}(0.8906496638868531)\implies \theta \approx 27.05

make sure your calculator is in Degree mode.

6 0
3 years ago
What is the perimeter of the rectangle? Area =33 sq m, width=3 , length=???
NNADVOKAT [17]

Answer:

the length = eleven meters.

Step-by-step explanation:

area divided by width.

33/3 = 11.

3 0
3 years ago
Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answer
steposvetlana [31]

Answer:

b.

821.9 cube meters

Step-by-step explanation:

7 0
3 years ago
If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-lo-whole ratio of white balloons to
cupoosta [38]

Answer:

1:6

Step-by-step explanation:

1:6

I hope this answer is correct

6 0
2 years ago
Read 2 more answers
John purchased a membership at a new gym he had to pay $100 plus $25 per month. For one year his cost is $400. Identify the rate
Alik [6]

Answer:

25, because it is the constant change in price each month

Step-by-step explanation:

3 0
3 years ago
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