Question<br> -10 - (-2) =<br> Plz help

option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar

motikmotik

Answer:

The equation is given below as

$\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x$

Step 1:

We will work on the left-hand side, we will have

$\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}$

By substituting the identity above, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\ \end{gathered}$

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}$

Here, we will use the definition of subtraction

$\cos x-\frac{\sin^2x}{\cos x}$

Step 3:

We will apply the double number identity given below

$\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}$

By applying this, we will have

$\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}$

Here, we will use the double number identity

$\frac{\cos^2x-\sin^2x}{\cos x}$

5 0

1 year ago

There are two laundry trucks One laundry truck visits Roxanne's house every 3 days and another laundry truck visits her neighbor

stealth61 [152]

Answer:

Evey 12 days both of the trucks visit on the same day

Step-by-step explanation:

The LCM of 3 and 4 is 12, because 12 is the smallest number that 3 and 4 are both factors for.

5 0

3 years ago

Mr.ward and mr. heskey are racing toy cars and Mr. heskey wants to give mr. ward an 8 ft head start because his car is 2 seconds

DiKsa [7]

Answer:

F. 6s > 4s +8

Step-by-step explanation:

From a reference point at the beginning of the track, Ward's car will be located 4s+8 feet down the track after s seconds. That is, it starts 8 feet down the track, and increases its distance by 4 feet every second.

From the same reference point, Heskey's car will be located 6s feet down the track after s seconds. Its distance starts from zero and is increasing at the rate of 6 feet every second.

For Heskey's distance to exceed Ward's distance you want ...

6s > 4s +8 . . . . . . matches choice F

6 0

3 years ago

Marlon asks a friend to think of a number from 5-11. What is the probability that marlins friend will think of the number 9

Tju [1.3M]

Answer:

14.29% probability that Marlon's friend will think of the number 9

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are 7 numbers from 5 to 11(5,6,7,8,9,10,11)

9 is one of them

So

$p = \frac{1}{7} = 0.1429$

14.29% probability that Marlon's friend will think of the number 9

4 0

3 years ago

Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1 4 14 that height. Which of these statements

MAXImum [283]

Hi there!
The correct answer (the statement that is not true): The volume of the smaller cone cannot be determined because it’s height is unknown.
Hope this helps and have a good day :) !
~Angel

4 0

3 years ago

Question -10 - (-2) = Plz help