answersLogoWhite

0

When can you use the inverse of sin?

Updated: 4/28/2022
User Avatar

Wiki User

13y ago

Best Answer

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.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: When can you use the inverse of sin?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Trigonometry

What is the value of sin inverse of 1?

1.570796327


How do you calculate sin inverse?

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


How do you figure this out Sin theta equals -0.0138 so theta equals what?

Depending on your calculator, you should have an arcsin function, which appears as sin^-1. It's usually a 2nd function of the sin key. If you don't have this function, there are many free calculators you can download... just google scientific calculator downloads.Anyway, this inverse function will give you theta when you plug in the value of sin theta. Here's the algebra written out:sin(theta)=-0.0138arcsin(sin(theta))=arcsin(-0.0138)theta=.......The inverse function applied to both sides of the equation "cancels out" the sin function and yields the value of the angle that was originally plugged into the function, in this case theta. You can use this principle to solve for theta for any of the other trig functions:arccos(cos(theta))=thetaarctan(tan(theta))=thetaand so on, but calculators usually only have these three inverse functions, so if you encounter a problem using sec, csc, or cot, you need to rewrite it as cos, sin, or tan.sec=1/coscsc=1/sincot=1/tan


What is the angle if the sin is 0.92595?

If this is a homework assignment, please consider trying it yourself first, otherwise the value of the reinforcement to the lesson offered by the homework will be lost on you.If the sin of an angle is 0.92595, the angle is the inverse sin of 0.92595, which is 67.812 degrees, or 1.1835 radians.


How do you solve cot parenthesis inverse of sin 4 over 7 closed parenthesis?

The inverse sin function I write as arcsin x. Make use of the trignometric relationships: cos2θ + sin2θ = 1 ⇒ cosθ = √(1 - sin2θ) cotθ = cosθ/sinθ = √(1 - (sinθ)2)/sinθ sin(arcsin x) = x Then: cot(arcsin(x)) = √(1 - (sin(arcsin(x))2)/sin(arcsin(x)) = √(1 - x2)/x ⇒ cot(arcsin(4/7)) = √(1 - (4/7)2)/(4/7) = √(49/72 - 16/72) ÷ 4/7 = √(49 - 16) x 1/7 x 7/4 = 1/4 x √33

Related questions

Inverse trigonometric value of sin inverse 4 11?

The inverse of sin inverse (4/11) is simply 4/11.


What are inverse sine inverse cosine and inverse tangent used for?

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


What are the graphs of the inverse trigonometry functions?

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)


When calculating sin inverse of 50 degrees the answer is in degree or in radians?

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.


What is the value of sin inverse of 1?

1.570796327


Does cosec equals sin inverse?

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


What is reciprocal in trigonometry?

The inverse of sine (sin) is cosecant (csc). The inverse of cosine (cos) is secant (sec). The inverse of tangent (tan) is cotangent (cot).


What is the domain of the inverse of sin?

X an element of real numbers


Can you guys help me with sin theta?

its the inverse of cosecant theta.


What is the inverse of esinx?

If you mean esin x, the multiplicative inverse is of course 1 / esin x, which can also be written as e-sin x.If you mean esin x, the multiplicative inverse is of course 1 / esin x, which can also be written as e-sin x.If you mean esin x, the multiplicative inverse is of course 1 / esin x, which can also be written as e-sin x.If you mean esin x, the multiplicative inverse is of course 1 / esin x, which can also be written as e-sin x.


How do you calculate sin inverse?

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


When do i use negative sin cos or tan?

The inverse (negatives) of sine, cosine, and tangent are used to calculate the angle theta (or whatever you choose to name it). Initially it is taught that opposite over hypotenuse is equal to the sine of theta sin(theta) = opposite/hypotenuse So it can be said that theta = sin-1 (opp/hyp) This works the same way with cosine and tangent In short the inverse is simply what you use when you move the sin, cos, or tan to the other side of the equation generally to find the angle