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
Rasek [7]
2 years ago
11

Consider the proof for the identity csc(x)+sin(x)=(2-cos^(2)(x))/(sin(x)).

Mathematics
1 answer:
spin [16.1K]2 years ago
8 0

1. given:

csc(x) + sin(x)

2. definition of csc(x) :

1/sin(x) + sin(x)

3. combining fractions with a common denominator:

(1 + sin²(x))/sin(x)

4. expanding 1 = cos²(x) + sin²(x) :

(cos²(x) + sin²(x) + sin²(x))/sin(x)

5. simplifying:

(2 sin²(x) + cos²(x))/sin(x)

6. employing the same identity as in (4) :

(2 (1 - cos²(x)) + cos²(x))/sin(x)

7. expanding 2 (1 - cos²(x)) :

(2 - 2 cos²(x) + cos²(x))/sin(x)

8. simplifying:

(2 - cos²(x))/sin(x)

You might be interested in
$7.50 per ticket. the theater earned $450 from ticket sales tuesday's performance. which equation can be used to find the number
Norma-Jean [14]

Answer:

450 ÷ 7.50 = t (tickets sold for Tuesday)

Step-by-step explanation:

this is simple 4th grade division...

4 0
3 years ago
2√72÷√8±√2<br><br> I Need help with this question fast
Oxana [17]

2√72 / √8 ± √2

If the denominator is √8 + √2,

2√72 / √8 + √2

= 2√(2*2*2*3*3) / √(2*2*2) + √2

= 2*2*3√2 / 2√2 + √2

= 12√2 / 3√2

= 4

4 0
3 years ago
Which set of angles are complementary in this diagram? Please help &lt;3
SashulF [63]

9514 1404 393

Answer:

  (c)  ∠ECF and ∠BCF

Step-by-step explanation:

Complementary angles total 90°. Here, 90° angle BCE is divided by ray CF into two complementary angles. They necessarily have a total of 90°.

  ∠ECF and ∠BCF

6 0
2 years ago
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right
ivann1987 [24]

Answer:

i think its 1.2 not too sure though

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
30 points + Brainliest
I am Lyosha [343]

Your answer is A. If we find the slope of the line and draw it out farther, we can see that the points 4,7,10, and 13 would fall on that line.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Evaluate 5/3
    6·2 answers
  • What are the values of x in the equation x(x-6)=4(x+6)
    13·1 answer
  • Simplify this algebraic expression,
    6·2 answers
  • each term of a sequence is 2 more than the previous term. if the third term is 8 find the first five terms of the sequence
    13·1 answer
  • What does 11 to the 3rd power equal
    8·2 answers
  • The table below show the approximate population of Virginia for 5 years. What is the
    13·1 answer
  • Can anyone help me with this math question please I will give brainlist!!
    5·2 answers
  • The total surface area of a cone whose radius is 2 r and slant height 2l is
    10·1 answer
  • Plz help!!!
    8·2 answers
  • Find the slope and the y-intercept of the graph of the linear equation. Then, graph the equation.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!