All categories

2 years ago

1-tan^2(x)/sec^2 = cos(2x)

Mathematics

1 answer:

LekaFEV [45]2 years ago

3 0

By applying the formula of trigonometric function the right hand side will

be equal to right hand side which is 1- $tan^{2} x$ / $sec^{2}x$ =cos2x.

Given: 1- $tan^{2} x$ / $sec^{2}x$ =cos2x.

Taking right hand side first which is cos2x.

We know that cos2x= $1-tan^{2}x/1+tan^{2}x$

Now we will solve the left hand side of the equation give which is

1- $tan^{2} x$ / $sec^{2}x$

=1- $tan^{2}x$ /1+ $tan^{2}x$

[secant square x minus tangent square x is equal to 1]

By putting both values left hand side and right hand side we will find our solution which is :

1-tan^{2}x/1+tan^{2}x=1- $tan^{2}x$ /1+ $tan^{2}x$ .

Hence proved

Learn more about trigonometric functions at brainly.com/question/24349828

#SPJ10

You might be interested in

A line passes through the point (–7, 5) and has a slope of 1/2. Which is another point that the line passes through?

Andrej [43]

The answer to this question is (9,13). Here's how:
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)

So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )

5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!

7 0

3 years ago

Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

8 0

3 years ago

Which system of equation is represented

olga nikolaevna [1]

Answer:

Step-by-step explanation:

First, let us figure out what is graphed and then manipulate each answer to try to match it.

The one with a positive slope is

$y\leq x-2$

The one with the negative slope is

$y\geq 3-2x$

Now that we have our graphed system of inequalities, we can try to match them to an answer.

A. while the x-2 is the same, the other does not have an x, so it cannot match.

B. The second inequality has the wrong sign, so it is impossible for this to be our answer.

C. When each of these are solved for y, you get $y\leq 2x-3\\\\y\leq 2-x$ . Neither of these match so this cannot be correct.

D. When the first inequality is solved you get $y\geq 3-2x$

When the second inequality is solved you get $y\leq x-2$

As both of these answers match our graphed inequalities, D is the correct answer.

4 0

3 years ago

The table shows how to change miles to kilometers. Divide kilometers by miles for each of the four mileage numbers. How many kil

77julia77 [94]

There are 1.609344 kilometers per mile.

4 0

2 years ago

Read 2 more answers

I need to get a better grade

Ne4ueva [31]

Yes you do and what grade are you in and do you need help answering these questions

6 0

3 years ago