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
What is the sum of the infinite series:<br><br> 2+1+1/2+1/4+1/8+...
Temka [501]

Answer:

31/8

im very sure

7 0
3 years ago
What is a real number that can be written as a ratio or fraction
jeka57 [31]
4/3 can be written as 4:3 or 4/3 and is a real number
7 0
2 years ago
A patient is to receive 1.5 grams (g) of an antibiotic in 3 equal
nordsb [41]
1.5 g = 1500 mg

1500 / 250 = 6

the patient should take 6 tablets each dose.
4 0
3 years ago
Evaluate -6-(-5) x (-9)
Rom4ik [11]
9.
That’s the answer
3 0
2 years ago
Read 2 more answers
Need it by 1.30 show working
Anna35 [415]

Answer:

ill do it when i get home with the explanation attached also !

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Simplify: (4x2 + 8xy + 2y2) − (−9x2 − 4xy − 7y2)
    6·2 answers
  • If the y-intercept of the function y=4x-7 were increased by 10 what would be the equation of the new function
    7·2 answers
  • Compound Interest Help<br><br>Help me to answer this question. 10 points!
    6·1 answer
  • Which statements are true regarding undefinable terms in geometry? Select two options.
    15·2 answers
  • Describe fully the single transformation that maps triangle a onto triangle b
    15·2 answers
  • Manuel created a factor tree and wrote the prime factorization of 60 shown below.
    5·2 answers
  • What is the measure of angle x enter your answer is the box
    7·2 answers
  • Population density is the number of people per unit of area. The population density of a certain region is 65 people per square
    13·1 answer
  • Yo help me i sick at ixl
    8·2 answers
  • How much sit-ups can you do in 1 minutes?​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!