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
earnstyle [38]
3 years ago
14

Rewrite the expression in terms of sine and cosine, and simplify as much as possible. (sec w(1+ csc^2 w))/(csc^2 w)​

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

(sin^2 w + 1) / cos w.

Step-by-step explanation:

Note: sec w = 1 / cos w and csc w = 1/ sin w.

So we have:

(sec w(1 + csc^2 w)) / (csc^2 w)​

= 1/cos w (  1 + 1/ sin^2 w)  /   (1 / sin^2 w)

= ( 1/ cos w + 1 / sin^2 w cos w) * sin^2 w

=  sin^2 w/ cos w + sin^2 w / (sin^2 w cos w)

= sin^2 w / cos w + 1 /  cos w

=  (sin^2 w + 1) / cos w.

You might be interested in
28 is what % of 20<br><br> 28 is ___% of 20
Greeley [361]
28 is 140% of 20

Hope this helps!
7 0
3 years ago
49767269 x 327686000 - 1029 + 1101 / 32
mars1129 [50]

Answer:

16308037309533006\frac{13}{32}

Step-by-step explanation:

49767269 × 327686000 - 1029 + \frac{1101}{32}

= 16308037309534000 - 1029 + \frac{1101}{32}

= 16308037309532972 + 34\frac{13}{32}

= 16308037309533006\frac{13}{32}

8 0
3 years ago
Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^
Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}

STEP 3: Get the equation of the ellipse

\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

\frac{x^2}{144}+\frac{y^2}{95}=1

OPTION A

8 0
1 year ago
Help please i have no idea how to do slope intercept form ​
OverLord2011 [107]

Answer:

y=x+4

Step-by-step explanation:

from the graph

7 0
2 years ago
What is the answer I'm so stuck this is so hard for dumb people like me helpppppppp
miskamm [114]
Well I don't remember the equation with all the numbrical stuff but if you times 5 and 5 than times 4 and 5 which is 25 and 20 take 20 away from 25 and you have your answer hope it helps
4 0
3 years ago
Other questions:
  • An explanation for 168 divided by 5.6
    5·1 answer
  • Study the function below. f(x) = –3x Label the function as proportional or non-proportional. Explain your reasoning.
    13·1 answer
  • On a coordinate plane, 2 triangles are shown. The first triangle has points A (1, 4), B (3, 4), C (3, 2). The second triangle ha
    10·2 answers
  • How many and what type of solutions does the equation have?<br><br> 2k² = 9 + 3k
    10·2 answers
  • Fred went to catch a minimun of 2 pounds of fish.He caught 5/16 pounds.He caught another fish that was 7/8 pounds.How many pound
    14·2 answers
  • The sum of the angles in the triangle on the swing set is 180 use this fact to write an equation containing x,if a=65. How can I
    8·1 answer
  • Factor. Check by multiplying<br> 2a - 14 = ?
    11·2 answers
  • Prove that: sin8A/1-cos8A=cot4A​
    15·1 answer
  • Use the table to find the slope of the line *
    11·1 answer
  • Hi please answer,
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!