Cos X Graph 0 To 360

The two values of x are 30 0 and 150 0. Ii the curve cuts y at 1 maximum when x 0 or 360 and passes through x 90 at y 0 and decreases to minimum at y 1 minimum when x 180 and the curve increases again to x 270 degress and y 0 and back to 360 0r 0 degress. 0 90 180 270 360 click to enlarge tangent graphs the graph of y tan x is an odd one mainly down to the nature of the tangent function.

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Knight of ni 11 17 2012 06 46 pm.

Cos x graph 0 to 360. Trigonometric sine values table from 0 to 360 degrees. The diagram shows a graph of y sin x for 0 x 360 determine the values of p q and r. The cosine function forms a wave that starts from the point 0 1 cos θ 0 when θ 90 270. Ii peroid of this graph is 2pi and phase difference of pi.

The below trigonometric sin chart lists the corresponding sine values for the given angle with a precision of 6 decimal digits. With this informations you can do the sketch easily. From the graph of the function we can see that we should be expecting two solutions. What you could possible do is not show the actual scale and overlay the graph with an image of scale going from 0 360 repeatedly.

There is a line of symmetry at x 0 circ. One solution between 180 and 270 and the other between 270 and 360. The cosine graph is really the sine graph that has simply been translated. Solve cos x 0 5 for 0 x 360 cos x 0 5 x 120 0 since y 0 5 line crosses the sine curve at two points there are two solutions.

Graph with scale of 0 360 degrees then 0 360 degrees again and so on johnsold. X 120 and 240. In order to answer this type of questions you will need to remember the general properties or shape of a sine graph. Sine cosine and tangent graphs remember the key points.

X 30 and 150. So p 1. Minimum value of cos θ is 1 when θ 180. Sin x circ 0 349.

We know that the maximum value of a sine graph is 1. Recall from right triangle trigonometry that a reference angle an angle between 0 and 360 can be used to represent all angles that are less than zero or. The line y 0 75 crosses the graph of y cos x four times in the interval 360 circ leq x leq 360 circ so there are four solutions. Now look at the symmetry of the graph.

Scroll down the page for more examples and solutions on how to graph the cosine function. Properties of the cosine function. Maximum value of cos θ is 1 when θ 0 360. The two values of x are 120 0 and 240 0.

0 kudos message 2 of 4 1 207 views reply. Looking at the graph below the red curve is the graph of cos x and the blue curve is the graph of sin x. Now look at the symmetry of the graph. For example for the given angle of 33 degrees the corresponding sine value would be 0 544639.