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What is the inverse sine of 0.75?
arcsin(.75)≈0.848062079
When can you use the inverse of sin?
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 sine of 833?
Inverse sine is defined for the domain [-1, 1]. Since 833 is way outside this domain, the value is not defined.
What is the value of sin90?
It is: sin(90) = 1
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
