If sin x= (sqrt 2)/2 and tan x=-1 what is sec x

Answers

Answer 1

Answer:

Answer:

$-(2)/(√(2))$ or $-√(2)$

Step-by-step explanation:

$\sec{x}$ is the reciprocal of $cos(x)$ , or in symbols: $\sec{x}=(1)/(cos(x))$ . $tan(x)$ is also the ratio of $sin(x)$ to $cos(x)$ , and we can multiply both sides of the equation $tan(x)=(sin(x))/(cos(x))$ by $(1)/(sin(x))$ to get the equation $(tan(x))/(sin(x))=(1)/(cos(x))$ . Of course, this is just the definition of $\sec{x}$ , so we can rewrite this fact as $\sec{x}=(tan(x))/(sin(x))$ .

In this problem, we're given that $sin(x)=(√(2) )/(2)$ and $tan(x)=-1$ , so plugging those two values into our equation gives us

$\sec{x}=(-1)/((√(2))/(2)) =-(2)/(√(2))$

We could leave our solution as $-(2)/(√(2))$ , or we could rationalize the denominator to get a solution of

$-(2)/(√(2))\cdot(√(2))/(√(2))=-(2√(2))/(2)=-√(2)$

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I need help finding the answer to this math problem:
(m³+m²n)+(mn²+n³)

Answers

$(m^3+m^2n) + (mn^2+n^3)$

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At a country concert, the ratio of the number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?

Answers

Boys : Girls = 2:7
let the no. of boys be x
so no of girls = 250+x
so, x:(250+x) = 2:7
x/(250+x) = 2/7
7x = 500+2x
7x-2x = 500
x = 500/5 =100

4k^2(-3k^2 - 4k + 5) A. -12k^4 - 16k^3 + 20k^2
B. 12k^4 - 16k^3 + 9k^2
C. -12k^3 + 20k
D. k^4 + 9k^2

Answers

Hello,

Answer A for 4k²*5=20k²
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The marketing department of a firm in New York City is curious to see which group of U.S. high school students, from the 9th, 10th, 11th, or 12th grades, spends the most time watching television each day. After selecting 25 students randomly, they find that 9th graders watch the most television per dayPart A: What is the population?
Part B: What is the sample of the population?
Part C: Discuss collaboratively: Explain the difference between population and sample

Answers

The population is the total number of students from grades 9, 10, 11, 12.
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F(x) = h•g+1
h(x)= 3(x - 1) – 2(2x + 1
g(x)= 8 + 2(x - 1)

Answers

Answer:

g = y - 1/h

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What is another way to write the ratio 3 to 10

Answers

Under ratio and proportion, there are a couple of ways you can use aside from using words to establish the relationship between 2 numbers.

One would be in a fraction form where "3 to 10" can be written as "3/10", or using a colon between the two numbers, where it would be written as "3:10". It is necessary to understand that these forms all mean the same, even if they look really different.

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