Sin or Sine is the ratio of the Opposite side Over The Hypoteneuse of any right angled triangle
inverse sin or inverse sine ( they mean the same thing ) uses the same ratio to find an unknown angle and can be written as sin-1
so if you know two sides ( opposite and Hypoteneuse ) then you can work out the sin...then you can either use a calculator to determine the inverse ( or angle ) or you could look up the sin in a booklet of sin values and determine the angle
Example : in the triangle ABC the line ab=4 ac = 5 and the angle abc =90
we could find the sin of the angle acb
sinacb= opp/hyp = 4/5 = 0.8
to find sin-1 of 0.8
calcultor press 0.8
press inv button or on newer calculators the 2nd functon button
then press the button marked sin
the display should then display 53.1301....or 53 to 2 sig figures
The sin inverse of sin(3π/8) is 3π/8 because the angle 3π/8 lies within the range of the arcsine function, which is [-π/2, π/2]. Since it falls within this range, the sin inverse function returns the original angle. Therefore, sin⁻¹(sin(3π/8)) = 3π/8.
1.570796327
arcsin(.75)≈0.848062079
You can calculate that on any scientific calculator. Make sure you put it into the correct angle mode (degrees, or radians, depending on what you need), and press something like "inverse", followed by "sin".In Excel, you can type: =asin(0.58333) That will give you the angle in radians.
You can use the inverse of sin when you want to solve an equation where x is the angle you're trying to find. Say sin(x)=32/50 Since you can't plug "x" into your calculator, use the arc sin (represented on your calculator by sin -1) on both sides to get rid of the sin. This is how it would plug into your calculator: sin-1 (32/50) Whatever the answer is would be what "x" equals.
The inverse of sin inverse (4/11) is simply 4/11.
You do not calculate sin invrse of 50 degrees. You provide a number between -1 and 1 and calculate the sin inverse of that number. The answer you get is usually in radians in you use a calculator which you could convert to degrees if you wish. For example, sin inverse of 1 is 90 degrees. It means sine of 90 degrees is 1. This is how your question would look like. When calculating sin inverse, is the answer in degrees or radians? It is usually in radians but can easily be converted to degrees. Multiply the radians by 180/PI, where PI=3.14159. Example: sin inverse (0.4) = 0.4115 radians which is the same as: (0.4115)(180)/3.14159=23.6 degrees. This means sin of 23.6 degrees is 0.4.
Use the inverse/2nd function button on your calculator. e.g. Sin(angle) = 0.5 Then angle = Sin^(-1) 0.5 or ArcSin 0.5. On your calculator make sure you are in DEGREE Mode. Over the 'Sin' button there should be the symbol 'Sin^-1)' So press ' Inver/2nd function/shift' as the case maybe for your calculator Then 'Sin' '0.5' '=' Answer should be '30' Degrees. Similarly for any angle and the two other trig functions (Cos) & (Tan).
to find the measure of an angle. EX: if sin A = 0.1234, then inv sin (0.1234) will give you the measure of angle A
If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)
The sin inverse of sin(3π/8) is 3π/8 because the angle 3π/8 lies within the range of the arcsine function, which is [-π/2, π/2]. Since it falls within this range, the sin inverse function returns the original angle. Therefore, sin⁻¹(sin(3π/8)) = 3π/8.
1.570796327
arcsin(.75)≈0.848062079
You do the inverse off multiplacation which is dividsion
Yes of course cosec x is the inverse of sin x by definition in trigonometry sin x=opp. side/hypotenuse cosec x= hypotenuse/opp.side thank u
The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).
its the inverse of cosecant theta.