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What is arcsine?
The arcsine is the angle whose sine is equal to the given value. arcsine is also called sine inverse (sin-1 ) if sin 30o = 1/2 , then sin-1 1/2 = 30o
What is the relevance of the number 1.414 to a 45 degree angle?
The number 1.414... (square root of 2) is two times the cosine or sine of a 45 degree angle. The reason for this is that for a 45 degree angle, the two sides are cosine and sine, they are equal, and if you solve using the Pythagorean theorem with a hypotenuse of 1, the two sides are each (21/2)/2.
How do you find the sine of an angle?
sine[theta]=opposite/hypotenuse=square root of (1-[cos[theta]]^2)
What is Sine in a 30-degree-angle?
sin(30) = 1/2
How do you find the the sine of -900 degrees?
Divide -900 by 360, and the remainder will be the angle you need to find the sine of: -900 / 360 = -2.5 --> -900 = 360*(-2 - 0.5), so sine(-180°) = sine(-900°). sine(-180°) = 0
Can the sine of an angle ever equal 2?
Sine of an angle cannot be 2, as you must be knowing, sin90=1, u may conclude that sin180=2. but 180 degree cannot be an angle of a triangle,
What is the sine of an angle of 45º?
sqrt 2 / 2 is the answer.
What is arcsine?
The arcsine is the angle whose sine is equal to the given value. arcsine is also called sine inverse (sin-1 ) if sin 30o = 1/2 , then sin-1 1/2 = 30o
A ski slope is 250 yards long with a vertical drop of 100 yardsfind the angle of depression of the slope?
The angle of depression is equal to the angle of elevation, so use the sine ratio to find the angle. sine = opposite (the vertical drop) divided by the hypotenuse (the ski slope) sine = 100/250 = 2/5 or 0.4 sine-1(0.4) = 23.57817848 degrees which is about 24 degrees
What is the relevance of the number 1.414 to a 45 degree angle?
The number 1.414... (square root of 2) is two times the cosine or sine of a 45 degree angle. The reason for this is that for a 45 degree angle, the two sides are cosine and sine, they are equal, and if you solve using the Pythagorean theorem with a hypotenuse of 1, the two sides are each (21/2)/2.
How do you find the sine of an angle?
sine[theta]=opposite/hypotenuse=square root of (1-[cos[theta]]^2)
Why does Sine Theta equal Sine 180 minus Theta?
When you subtract theta from 180 ( if theta is between 90 degrees and 180 degrees) you will get the reference angle of theta; the results of sine theta and sine of its reference angle will be the same and only the sign will be different depends on which quadrant the angle is located. Ex. 150 degrees' reference angle will be 30 degrees (180-150) sin150=1/2 (2nd quadrant); sin30=1/2 (1st quadrant) 1st quadrant: all trig functions are positive 2nd: sine and csc are positive 3rd: tangent and cot are positive 4th: cosine and secant are positive
What is Sine in a 30-degree-angle?
sin(30) = 1/2
What is the sine of a thrity degree angle?
sin 300 = 1/2
What are the snell law?
Snell's law is related to the phenomenon of refraction. The ratio of the sine of the angle of incidencein theFIRST medium to the sine of the angle of refractionin theSECOND medium would always be a constant and this constant is known to be the refractive index of the second medium with respect to the first one. Refractive index of 2 with respect to 1 = Sine of angle in1 / sine of angle in 2 This is later equated to by Huygens as Refractive index of 2 with respect to 1 = velocity of light in medium1 / velocity of light in medium 2
How do you find the the sine of -900 degrees?
Divide -900 by 360, and the remainder will be the angle you need to find the sine of: -900 / 360 = -2.5 --> -900 = 360*(-2 - 0.5), so sine(-180°) = sine(-900°). sine(-180°) = 0
What are the consinetagent and sine?
Consider a right triangle ABC as shown below. The right angle is at B, meaning angle ABC is 90 degrees. With the editor I have, I am not able to draw the line AC but imagine it to be there. By pythagorean theorem AC*2 = AB*2 + BC*2. The line AC is called the hypotenuse. Consider the angle ACB. The cosine of this angle is BC/AC, the sine is AB/AC and tangent is AB/BC. If you consider the angle BAC, then cosine of this angle is AB/AC, the sine is BC/AC and tangent is BC/AB. In general sine of an angle = (opposite side)/(hypotenuse) cosine of an angle = (adjacent side)/(hypotenuse) tangent of an angle = (opposite side)/(adjacent side) |A | | | | | | |______________________C B
