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How do you figure this out What are the values of theta between 0 and 360 when tan theta -1?
Wiki User
∙ 15y ago
This is a fairly straightforward trigonometry problem.
I'll assume you were give tan(θ)=(-1) for 0o < θ < 360o in this situation.
I strongly suggest you familiarize yourself with the unit circle. In this case, we are looking for a point on the circle where the slope between (0,0) and the point at θ is (-1). This occurs at 135o and 315o.
Short Answer: θ = {135o, 315o}
Wiki User
∙ 15y ago
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Why sin x plus 180 equals - sin x?
Sin (theta + 180) is equal to -sin (theta) because the sin function is symmetrically opposite every 180 degrees. Proof: Draw a unit circle, radius 1, centered at the origin (x=0, y=0). Pick any point on that circle, and draw a line from that point through the origin and to the opposite edge of the circle. The angle between that line and the x-axis going to the right is theta. It ranges from 0 degrees at (x=1, y=0) to 360 degrees coming back to (x=1, y=0) rotating counter-clockwise. (The angle is called theta to avoid confusion with the question's original use of x.) The x and y coordinates of the first point are symmetrically opposite the x and y coordinates of the second point. (If X1 were 0.35, for instance, then X2 would be -0.35.) The same goes for Y. (There are two right triangles, with the hypotenuses equal and two angles equal; therefore the two triangles are the same, just flipped over.) Sin (theta) in a unit circle is defined in trigonometry as y, so sin (theta + 180) is equal to -y, which is the same as -sin (theta). Sin (theta) is actually y divided by hypotenuse or "opposite over hypotenuse" but, since the hypotenuse is 1, that can be ignored - it does not change the answer.
What is 360 minus 301?
360 - 301 = 59
What is the difference between positive and negative angles?
Essentially, none. Every negative angle can be made positive by adding 2*pi radians (or 360 degrees, or a multiple).
Why is a rectangle called a rectangle?
Because it is an quadrilaterial with four equal sides that sum up to 360
What are the x values of sin2x equals sinx?
0 ================================== Another contributor says: Yes, x=0 is a solution, but there are a lot more. sin(2x) = sin(x) whenever x = (N pi) radians or x = (2N-1) pi / 3 radians. 1 radian = 57.3 degrees (rounded) Make ' N ' any whole number you want. The first cycle of angles are: X = pi/3, pi, 5 pi/3, 2 pi radians or 60, 180, 300, 360 degrees.
Every angle theta between 0 and 360 degrees for which the ratio of sin theta to cos theta is -3?
108.435 degrees 288.435 degrees (decimal is rounded)
What is cos 360 minus theta?
- cos theta
What are the values of theta in the interval 0 degrees less than or equal to theta less than 360 degrees that satisfy the equation tan theta negative radical three equals 0?
The answer is 60 and 240 degrees. Add radical 3 and inverse tan to get answer add 180 for other answer less than 360.
What is the value of theta if 4sin theta is equal to 2?
4 sin(theta) = 2 => sin(theta) = 2/4 = 0.5. Therefore theta = 30 + k*360 degrees or 150 + k*360 degrees where k is any integer.
How do you find tan-theta when sin-theta equals -0.5736 and cos-theta is greater than 0?
-0.5736
What are both solutions between 0 degrees and 360 degrees of the equation cos theta 911?
They are 35.1 and 324.9 degrees.
Find theta if theta is 0 deg theta 360 deg and 2 sin theta plus 1 equals 0?
2 sin (Θ) + 1 = 0sin (Θ) = -1/2Θ = 210°Θ = 330°
Is cos theta is equal to 1?
No, not necessarily. Cosine theta is equal to 1 only when theta is equal to zero and multiples of 2 pi radians or multiples of 360 degrees. This is because cosine theta is hypotenuse over adjacent, and the ratio 1 only occurs at 0, 360, 720, etc. or 0, 2 pi, 4 pi, etc.
Find all angles in the interval 0 360 satisfying the equation cos theta equals 0.7902?
cos(theta) = 0.7902 arcos(0.7902) = theta = 38 degrees you find complimentary angles
What is the relationship between those trigonometry function e.g sine and cos and also tan curve?
Given that theta is the angle with respect to the positive X axis of a line of length 1, then sin(theta) = Y and cos(theta) is X, with (X,Y) being the point at the end of the line. As theta sweeps from 0 to 360 degrees, or 0 to 2 pi radians, that point draws a circle of radius 1, with center at (0,0).Since X, Y, and 1 form the sides of a right triangle, where 1 is the hypotenuse, then the pythagorean theorem states that X2 + Y2 = 12. This means that sin2(theta) + cos2(theta) = 1.Tan(theta) is defined as sin(theta) divided by cos(theta), or Y / X. Since division by zero is a limiting invalidity, then tan(theta) is asymptotic to Y=0, having value of +infinity at theta = 90 or pi / 4, and -infinity at 270 or 3 pi / 4.
How do you find the number of sides a polygon has with the sum of the interior angles?
Each angle theta is (n-2)/n) x 180 degrees The sum of all angles is nx theta = (n-2) x 180 sum = 180 n - 360 sum + 360 = 180 n n = (sum + 360)/180 = sum/180 + 2 So you divide sum by 180 then add 2
What angles are used to relate the values returned by inverse trigonometric functions to angles larger than 90 degrees?
For angles between 90 and 180 use the angle (180 - X) For angles between 180 and 270 use (X - 180) For angles between 270 and 360 use (360 - X) For angles greater than 360 subtract 360 until the angle is between 0 and 360 degrees and one of the above rules can be applied. You need to be careful with the signs of the ratios.
