You can check your answer to a division question in which there is a remainder by rounding the the number either up or down depending on the remainder and then just times the quotion to the divisor and you should get close to the exact answer i think
Root 3 /sin 20 - 1/cos 20
= (root3 cos 20 - sin 20 )/ (sin 20 cos 20)
(multiplying and dividing by 2)
= 2* (root3/2 cos 20 -1/2 sin 20)/ (sin 20 cos 20)
now sin 20 cos 20 = (2 sin 20 cos 20)/2 = (sin 40)/2
and writing root3/2 = sin 60, 1/2 = cos 60
= 2* (sin 60 cos 20 - cos 60 sin 20)/ (sin 40)/2
= 4* (sin (60-20))/sin 40
= 4* (sin 40)/sin 40
=4
Ask if any doubt in any step :)
well, since we know that there are 180° in π radians, how many degrees will it be in 345°?
![\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ 345&x \end{array}\implies \cfrac{180}{345}~~ = ~~\cfrac{\pi }{x}\implies \cfrac{12}{23}~~ = ~~\cfrac{\pi }{x} \\\\\\ 12x=23\pi \implies x=\cfrac{23\pi }{12}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccll%7D%20degrees%26radians%5C%5C%20%5Ccline%7B1-2%7D%20180%26%5Cpi%20%5C%5C%20345%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B180%7D%7B345%7D~~%20%3D%20~~%5Ccfrac%7B%5Cpi%20%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B23%7D~~%20%3D%20~~%5Ccfrac%7B%5Cpi%20%7D%7Bx%7D%20%5C%5C%5C%5C%5C%5C%2012x%3D23%5Cpi%20%5Cimplies%20x%3D%5Ccfrac%7B23%5Cpi%20%7D%7B12%7D)
It's B
Slope is negative, the other must be positive due to m1 x m2 = - 1
m1 = -2/5
The diagram shows a gradient of -2/5. So, the
reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)
-2/5 x 5/2 = - 10/10 (or - 1)
Thus, the perpendicular line to this has a gradient of 5/2.
Hope this helps!
C. 4x +5y -34=0.thats the answer hope it helps