Question:<u /> <em>Simplify the trigonometric expression sec</em><span><em>Өcos</em></span><span><em>Ө.</em></span>
For each of the three basic trig functions, (sin, cos, tan) there are three more which act as their reciprocals. (csc, sec, and cot respectively)
Reciprocals, of course, are flipped fractions. If you have some number x, the reciprocal can be expressed as
![\frac{1}x](https://tex.z-dn.net/?f=%5Cfrac%7B1%7Dx)
.
An important property of reciprocals is that if you mutliply them together they will cancel out--take
![\frac{4}7\times\frac{7}4](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D7%5Ctimes%5Cfrac%7B7%7D4)
for example.
Since sec
<span>Ө is literally <em>defined</em> as the reciprocal of cos</span><span>Ө, it is evident that
![\boxed{\sec\Theta\cos\Theta=1}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csec%5CTheta%5Ccos%5CTheta%3D1%7D)
</span>
Answer:
18 inches
Step-by-step explanation:
Given: The heights of both cylinders are 48 inches and 32 inches. Diameter of the larger cylinder is 12 inches
To find: diameter of the larger cylinder
Solution:
Height of the larger cylinder (H) = 48 inches
Height of the smaller cylinder (h) = 32 inches
Diameter of the smaller cylinder (d) = 12 inches
Radius of the smaller cylinder (r) = d/2 =12/ 2= 6 inches
As two cylinders are similar, their heights and radii are proportional.
![\frac{r}{h}=\frac{R}{H}\\\frac{6}{32}=\frac{R}{48}\\R=\frac{6}{32}\times 48=9\,\,inches](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bh%7D%3D%5Cfrac%7BR%7D%7BH%7D%5C%5C%5Cfrac%7B6%7D%7B32%7D%3D%5Cfrac%7BR%7D%7B48%7D%5C%5CR%3D%5Cfrac%7B6%7D%7B32%7D%5Ctimes%2048%3D9%5C%2C%5C%2Cinches)
Diameter of the larger cylinder = 2R = 2(9) = 18 inches
The graph of the function is attached with the answer.
<h3>What is a function ?</h3>
A function is defied as a mathematical statement which defines relation between , a dependent variable and an independent variable
It is given that
x / y = 2
therefore the equation is
y =(1/2) x
slope = 1/2
The graph of the function is attached with the answer.
To know more about Function
brainly.com/question/12431044
#SPJ1
m^5 x m^8 = m^13
Steps
1. You just have to add 5 + 8 = 13 and then plug that back in.
Hope this helped!!!
Answer:
4 x 40 = 160, 160 x11= 1760+2= 1762
Step-by-step explanation: