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
kicyunya [14]
3 years ago
11

[PRECALC] Verify the following trigonometric identity using sin2x + cos2x = 1

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Answer:

See below ~

Step-by-step explanation:

Identities :

  1. cot x = cos x / sin x
  2. sin²x + cos²x = 1

Changing the Left Hand Side (LHS) :

  • 1/cot x + cotx
  • 1/(cos x / sin x) + cos x / sin x
  • sin x / cos x + cos x / sin x
  • Take (sin x)(cos x) as the LCM (Least Common Multiple)
  • sin x (sin x) + cos x (cos x) / (sin x) (cos x)
  • sin²x + cos²x / cos x sin x
  • 1/cos x sin x
  • Equal to the RHS
You might be interested in
I need help finding the value
siniylev [52]

Answer:

17

Step-by-step explanation:

First, we notice that the triangle is isosceles . (In case you didn't know, the two tick marks on the sides of the triangle signify that they are congruent and have the same length.) Since the triangle is isosceles, we can apply the Base Angles Theorem.

The Base Angle Theorem states that the two angles opposite of the two congruent sides are also congruent. In this case, we can say that, because the angle measuring 29° and the third(top) angle are opposite to the two congruent sides, those two angles are congruent. Therefore, the third angle measures 29° as well.

Now that we know this, we can write the following equation:

29°+29°+(11x-65)° = 180.

Solving this equation, we have x = 17.

Hope this helps!

5 0
3 years ago
Rewrite x2 − 8x + 13 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values. A: a = 4 and b =
natima [27]
The answer for this problem is D
5 0
3 years ago
Read 2 more answers
The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan
Crank

Answer:

<h3>2x + 5y = –15.</h3>

Step-by-step explanation:

We are given coordinates of the line passed through (–5, –1) and (10, –7) .

Applying slope formula,

Slope=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:-7\right)

Therefore,

m=\frac{-7-\left(-1\right)}{10-\left(-5\right)}

m=-\frac{2}{5}

Therefore, slope is m=-\frac{2}{5}.

Applying point-slope form y-y_1=m(x-x_1), we get

y+7 = -\frac{2}{5}(x-10)

y+7=-\frac{2}{5}(x-10)

On multiplying both sides by 5, we get

5(y+7)=5\times-\frac{2}{5}(x+1)

5y+35=-2(x-10)

5y+35=-2x+20

Adding 2x on both sides, we get

5y+25+2x=-2x+20+2x

2x+5y+35=20

Subtracting 35 from both sides, we get

2x+5y+35-35=20-35

2x+5y=-15.

Therefore, required equation is :

<h3>2x + 5y = –15.</h3>
6 0
3 years ago
Evaluate the expression when y = -2 and z = -5. Show your work
katen-ka-za [31]
10(-2)^2/-5
The solution to this would equal to -8

:)  You are using substitution which is putting the number as the variable or the letter.

3 0
3 years ago
Please answer these questions according to the text above!!!
antoniya [11.8K]
You can add the numbers of those people to come up with the total.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A gas station charges $2.19 per gallon of gas.Use function notation to describe the relationship between the total cost C(g) and
    6·1 answer
  • Please help asap! finding mean and range
    14·2 answers
  • Cameron opens a checking account and a savings account at his local bank. He deposits $10,000 into his checking account and $2,0
    12·1 answer
  • Why do have to ignore the absolute value sign while solving differential equation?
    13·1 answer
  • What is the length of EF and the measure of ∡D?
    10·1 answer
  • Karen filled 3 2/3 buckets of water and l
    13·2 answers
  • A relation is given below.
    7·2 answers
  • Y = -x -1 y = -2x + 7 find x and y​
    11·1 answer
  • A bag contains orange, white, and purple marbles. If you randomly choose a marble from the bag, there is a 23% chance of drawing
    9·1 answer
  • . A scale factor of 2 is applied to the dimensions of the prism. What effect will this have on the volume
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!