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3 years ago

14

(1-sin^ 2 theta)(tan theta)=?

1 answer:

Darina [25.2K]3 years ago

4 0

Answer:

<em>sin 2theta/2</em>

Step-by-step explanation:

(1-sin^ 2 theta)(tan theta)

Recall in trig identity that

sin^2 theta + cos^2 theta = 1

cos^2 theta = 1-sin^ 2 theta

Also tan theta = sin theta/cos theta

Substitute

(1-sin^ 2 theta)(tan theta)

=cos^2 theta * sin theta/cos theta

= costheta sin theta

Since sin2 theta = 2sintheta cos theta

<em>sintheta cos theta = sin 2theta/2</em>

<em></em>

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The escalator at a merto station rises 80 feet an angle of 36

natima [27]

Answer:

44

Step-by-step explanation:

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1 year ago

-x=-y+2 and 3y+4=2x solve using matrices

MissTica

$\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}$

In matrix form, this is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}$

The coefficient matrix has determinant

$\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0$

so it has an inverse, which is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}$

Multiply both sides by the inverse matrix:

$\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}$

$\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-10\\-8\end{bmatrix}$

so that $x=-10$ and $y=-8$ .

8 0

3 years ago

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Alenkasestr [34]

Answer:

dependent

Step-by-step explanation:

6 0

3 years ago

Write the following conditional statement in if-then form. Volunteers are caring people.

yanalaym [24]

If <span>Volunteers are caring people then they should be very nice</span>

4 0

2 years ago

Read 2 more answers

According to the table, what was the hiker’s total displacement?

shtirl [24]

Answer:

A: 0

Step-by-step explanation:

Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.

In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.

So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)

7 0

2 years ago