I think i can substitute for tan x and then sketch a graph, but my heads not working... :-(
2006-12-03 02:31:41 · 9 answers · asked by Crap_At_Maths 2 in Science & Mathematics ➔ Mathematics
sinx + 5cosx = 0
sinx = -5cosx
sinx/cosx = -5
tanx = -5
x = tan-1(-5)
x = -78.7 (using the calc), -78.7+180, -78.7+360
x = 101.3, 281.3
2006-12-03 02:52:41 · answer #1 · answered by Kemmy 6 · 0⤊ 0⤋
in case you ever took precalculus or another math type which covers properties of purposes, you be taught the thank you to make certain the area of the functionality. between the crimson flags to look out for is once you divide by 0. on your expression, whilst x = 3, the denominator is 0. to that end, the area is each variety beside 3. regrettably, the form you are attempting to plug in (x = 3) is the only variety that doesn't artwork in this functionality. to make certain this customary hand, you0 can graph this functionality on a TI-eighty 3. in case you zoom in on the brink of the graph at x = 3, you will see that there is a sparkling spot there! it relatively is by way of the fact, as pronounced above, there basically isn't a value of the expression at x = 3. you may say, properly it feels like the respond could be 6, finding on the graph. this concept of what the respond "could be" is what limits are all approximately. The values of the functionality on the left and ideal of x = 3 all bypass in the direction of 6 as you capture up with and closer. So we are saying the decrease as x is going to 3 is 6. So even yet it quite isn't any longer technically the respond, 6 is your terrific decision. 0 basically isn't perfect in any experience. the very terrific answer is to declare that the expression is undefined at x = 3. This situation illustrates why 0/0 is named indeterminate. in this situation, 0/0 in a manner equals 6. the concept 0/0 can equivalent something is relatively the essence of calculus.
2016-10-17 15:43:41 · answer #2 · answered by lurette 4 · 0⤊ 0⤋
Solve: sinx + 5cosx = 0 for x is between or equal to 0 to 360
Divide by sinx to get:
1+ 5cot x = 0
cot x= -1/5 = -0.2
x = arccot (-1/5)
You should get 0ne angle in the 2nd quadrant and another in the 4th quadrant.
One angle should be approximately 153.5 degrees and the other should be apprroximately 333.5 degrees
2006-12-03 02:59:06 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
Simple... With the aid of a nailfile, shave off the upper left corner to make it fit into the 5cosx about 3 mm's.. Then take it into the back yard and smash f**k out of it with a shovel.. Problem solved...It worked for me
2006-12-03 03:13:05 · answer #4 · answered by pop c 2 · 0⤊ 1⤋
sinx + 5cosx = 0
bring 5cosx over
sinx = -5cosx
bring cosx over
sinx/cosx = -5
tanx = -5
x = inverse(tan-5)
2006-12-03 02:36:42 · answer #5 · answered by eVolution 2 · 1⤊ 0⤋
sin x + 5 cos x =0
tan x = -5
there are 2 values one in 2nd and second one in 4 th quadrant
they are pi - tan^(-1) 5 and 2pi-tan^(-1) 5
tan^-1 5 can be looked in table
2006-12-03 02:42:13 · answer #6 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
easiest way...
flash up a copy of Excel
put the equation in
draw a graph
...jobsagoodun
2006-12-03 02:42:49 · answer #7 · answered by Mark J 7 · 0⤊ 0⤋
sin x+5 cos x=0
divide by cos x
tan x+5=0
tan x=-5
x
=-1.375 radians
=78.75deg
Other value
=360-78.75
=281.25 deg
2006-12-03 02:43:11 · answer #8 · answered by openpsychy 6 · 0⤊ 0⤋
six = -5cosx
tanx=-5
x = -78.69 degrees = 281.3099 degrees
2006-12-03 02:35:18 · answer #9 · answered by Rajkiran 3 · 0⤊ 0⤋