If you have the sine of an angle and you need to find the angle, you have a
few choices. They're exactly the same choices that you have if you're going
the other way ... you have the angle and you need to find its sine:
-- pocket calculator, or computer . . . the way it's most often done these days
-- look it up in a table in a reference book
-- calculate it on paper from an infinite series . . . technically possible, but no reason
to subject yourself to the heartburn unless you need extreme precision, better than
what you can get with a 10-digit calculator.
'Theta' is the eighth character in the Greek alphabet. It is not often used as a mathematical constant (such as 'Pi'), but rather as a variable. It is commonly, but not always, used to represent some arbitrary angle.
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No, they cannot all be negative and retain the same value for theta, as is shown with the four quadrants and their trigonemtric properties. For example, in the first quadrant (0
answer is 2.34 degrees answer is 2.34 degrees
Theta is just a Greek letter used to denote measurement of angle. Sine is a trigonometric function, i.e., the ratio of the side opposite to the angle theta to the hypotenuse of the triangle. So Sine theta means the value of sine function for angle theta, where theta is any angle.
tan (theta x theta) : must square the value of the angle, theta, before applying the trig function, tangent.
That depends on the value of the angle, theta. csc is short for "cosecans", and is the reciprocal of the sine. That is, csc theta = 1 / sin theta.
96 degrees Let theta represent the measure of the angle we are trying to find and theta' represent the measure of its supplement. From the problem, we know: theta=theta'+12 Because supplementary angles sum to 180 degrees, we also know: theta+theta'=180 Substituting the value from theta in the first equation into the second, we get: (theta'+12)+theta'=180 2*theta'+12=180 2*theta'=180-12=168 theta'=168/2=84 Substituting this value for theta' back into the first equation, we get: theta+84=180 theta=180-84=96
We'll answer your question as asked. What was asked was, "What is the sine of the angle (the angle theta) if the angle measures 0.4384?" That's the way the question reads. That's a pretty small angle. Less than one degree. That angle has about 0.00765 as the sine. Perhaps the question was "What is the angle of theta if its sine is 0.4384?" In the event that this was really your question, if sine theta equals 0.4384, arcsine theta is about 23.00 degrees. Here we use the term arcsine. If we see "arcsine 0.4384" in a text, what it means is "the angle whose sine is 0.4384" in math speak.
Firstly all voltages and currents should be in RMS values. (divide peak values by root 2).Apparent Power|S| = VI = (P2+Q2)0.5Complex PowerS = P + jQP = |S|cos(theta)Q = |S|sin(theta)theta = phase angle between voltage & current (can be calculated by finding total impedence of the circuit)Power Factor = cos(theta)
'Theta' is the eighth character in the Greek alphabet. It is not often used as a mathematical constant (such as 'Pi'), but rather as a variable. It is commonly, but not always, used to represent some arbitrary angle.
According to Snell's Law n1*sine(theta 1)=n2*sine(theta 2) where n1 and n2 is the index of refraction of two substances respectively, and theta 1 and theta 2 is The angle of reflection or refraction angle measured from the optic normal (a line perpendicular to the contact surface of the two materials) respectively. The light that is reflected will do so at the angle theta 1. The portion of the ray that is refracted will be at the angle theta 2. In your question, the index of refraction (a numerical value proportional to the optic density) of the second material is lower (n1>n2). Therefore in order to satisfy Snell's Law the sine(theta 2) must be a higher number corresponding to some greater angle.
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In trigonometry, the value of R is the radius of the circle, and is usually normalized to a value of 1. If the circle is at the X-Y origin, and theta is the angle between the radius line R, and X and Y are the X and Y coordinates of the point on the circle at the radius line, then... sine(theta) = Y / R cosine(theta) = X / R secant(theta) = 1 / cosine(theta) = R / X cosecant(theta) = 1 / sine(theta) = R / Y
The symbol of "Theta" originates from Ancient Greece it is the 8th letter of the Greek alphabet, it has the Greek numeral value of 9. In maths, the lower case theta represents a plane angle, while the upper case represents a signal of frequency.
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