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How do you figure this out Sin theta equals -0.0138 so theta equals what?
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Answered 2009-11-26 14:37:25
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)=-0.0138
arcsin(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))=theta
arctan(tan(theta))=theta
and 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/cos
csc=1/sin
cot=1/tan
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