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2 years ago

Sec(pi/2 -x) =csc x true or false

Mathematics

1 answer:

jeka942 years ago

6 0

Answer:

true

Step-by-step explanation:

if you rewrite $sec\left(\frac{\pi }{2}\:-x\right)$ with trigonometric identities:

$sec\left(\frac{\pi }{2}\:-x\right)$ $=\frac{1}{\sin \left(x\right)}$

$\frac{1}{\sin \left(x\right)}$ $=\csc \left(x\right)$

so, yes, $sec\left(\frac{\pi }{2}\:-x\right)$ $=\csc \left(x\right)$

hope this helps!!

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Surface area of cuboid

mars1129 [50]

2 * (7.5 * 5) + 2 * (2.3 * 5) + 2 * (2.3 * 7.5) =
75 + 23 + 17.25 =
115.25 cm²

5 0

4 years ago

Approximately how many times greater is 1.2×103 than 4×10−1 ?

Galina-37 [17]

3000 Quick answer
Let your calculator do the work. Be careful how you enter this in. (Are you supposed to estimate it? We'll get around to that.) Write it like this.

1.2 * 10^3 divided by 4 * 10^-1 Your calculator will do this nicely. The trick is the - 1. Put it in the calculator like this.
1.2
*
10
^
3
=
÷
4
*
10
^
(-1)
= The calculator should read 3000
That's one way to do it. Another way is just to do it all by hand. The numbers are easy enough
1.2 * 10^3 means shift the decimal 3 places right. 1 200 which is 1200
4 * 10^-1 can be handled 2 ways 10 to the minus 1 in the denominator becomes 10^1 in the numerator. Notice the sign change on the 10 when you shift if :it becomes plus! That's why you did it.

1200 * 10^1
12000

Now you are still left with 4 in the denominator.
12000/4 = 3000.

The first method always works. The second one gives you a better understanding of how powers work. There are other ways of doing this, but these are the two best, I think.

4 0

3 years ago

A student walk 60m on a bearing

Katena32 [7]

Answer:

d = 234.6 m

Step-by-step explanation:

You can consider a system of coordinates with its origin at the beginning of the walk of the student.

When she start to walk, she is at (0,0)m. After her first walk, her coordinates are calculated by using the information about the incline and the distance that she traveled:

$x_1=60cos28\°=52.97m\\\\y_1=60sin28\°=28.16m$

she is at the coordinates (52.97 , 28.16)m.

Next, when she walks 180m to the east, her coordinates are:

(52.97+180 , 28.16)m = (232.97 , 28.16)m

To calculate the distance from the final point of the student to the starting point you use the Pythagoras generalization for the distance between two points:

$d=\sqrt{(x-x_o)^2+(y-y_o)^2}\\\\x=232.97\\\\x_o=0\\\\y=28.16\\\\y_o=0\\\\d=\sqrt{(232.97-0)^2+(28.16-0)^2}m=234.6m$

The displacement of the student on her complete trajectory was of 234.6m

8 0

3 years ago

**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?

Alborosie

We analyze the linear function to find that it has equation $y=x$ . Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting $y=x$ into the given equation:

$x^2+x^2=36$

$2x^2=36$

$x^2 = 18$

$x = \pm 3\sqrt{2}$

Hence, $x = 3\sqrt{2}$ or $-\sqrt{2}$ , so there are both positive and negative values for $x$ .

5 0

3 years ago

What is the main difference between simplifying and solving? Which one gives you a value for a variable? How do you know the dif

disa [49]

Answer:

when you simplify you continue until you get to the simplest form but when you solve you continue until you get an answer. Solving gives you a value for a variable. You mean simplify and get 2x - 10 but when you solve you continue until you get x as 5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers