1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SashulF [63]
2 years ago
12

True or false: the equation tan^2x+1=sec^2x

Mathematics
1 answer:
zhenek [66]2 years ago
3 0

ANSWER

True

EXPLANATION

The given trigonometric equation is:

{ \tan}^{2} x + 1 = { \sec}^{2} x

We take the LHS and simplify to arrive at the RHS.

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}  + 1

Collect LCM on the right hand side to get;

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}

This implies that

{ \tan}^{2} x + 1 =  \frac{1}{{ \cos}^{2} x} .

{ \tan}^{2} x + 1 =  {( \frac{1}{ \cos(x) }) }^{2}

{ \tan}^{2} x + 1 =  { \sec}^{2} x

This identity has been verified .Therefore the correct answer is true.

You might be interested in
Stephany is inviting 3 friends to a party. If each friend will get 7 cookies and each box has 10 cookies, how many boxes does St
Aleksandr [31]

Answer:

3 boxex hope that helps. yea. thats the answer

7 0
2 years ago
Write down the unit digit for each of the following square first 78 pawer 2<br>​
Vladimir79 [104]

Answer:

4

Step-by-step explanation:

Since 78² then 8² = 64 which indicates 4 is the unit digit

6 0
2 years ago
​Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x)= 0
weqwewe [10]

Answer:

Step-by-step explanation:

i don't know sorry.......................

5 0
2 years ago
Total area of two room <br> Help due soon (no link)
AlladinOne [14]
The answer is B, 2136

Explanation:
48-28 = 20. Now 20 times 20 equals 400, now remember that number.
Now 28 times 62 equals 1,736.
Now back to 400.
400+1736 equals 2,136.

Hope I helped you, please tell me if I am correct or not.

Enjoy your day!
:)
4 0
2 years ago
What is the value of x in the figure? Enter your answer in the box.<br> 145º<br> (2x + 15)
777dan777 [17]

Answer:

x = 65

Step-by-step explanation:

The angle labeled with the expression " ( 2x + 15 ) " and the angle with the measure of 145° are vertical angles

Vertical angles are congruent (In other words, they are equal to each other)

Hence, 2x + 15 = 145

                   ^ ( Note that we just created an equation  that we can use

                       to solve for x )

Using that same equation we then solve for x

2x + 15 = 145

step 1 subtract 15 from each side

15 - 15 cancels out

145 - 15 = 130

we now have 130 = 2x

step 2 divide each side by 2

130 / 2 = 65

2x / 2 = x

we're left with x = 65

7 0
2 years ago
Other questions:
  • Robert wants to use all ingredients listed in the table to make a trail mix. How many 1/2 pound packages can he make? dried appl
    10·1 answer
  • Why are the mode median and mean call measures of the center?
    10·2 answers
  • please answer the questions circled aka: Lillie’s grandmother is making potato salad for a family reunion. She uses three potato
    11·2 answers
  • If the quadratic formula is used to solve 2x 2 - 3x - 1 = 0, what are the solutions?
    6·2 answers
  • PLEASE HELP ME!!! THIS IS URGENT!!! DUE IN 5 MINUTES!!!<br> LOOK AT THE IMAGE
    9·1 answer
  • Simplify the quotient . 4.5*10^3/9x10^7 Write your answer in scientific notation. Show your work.
    6·1 answer
  • Find the product of the binomials,<br> (x - 3)(x + 2) (x + 4) =
    15·2 answers
  • If 8 km = 5 miles, convert 960 km into miles.​
    5·2 answers
  • To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following
    14·1 answer
  • Why is corruption discouraged in a country​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!