What is the meaning of sine squared in mathematical calculations?

[jamesd2008]

I have a problem were i must calculate sine^2(45)*cos^2(45)

Thanks in advance
james

 

[Mugged]

sine^2(45) would mean you take the sine of 45 degrees and then you square that value.

sine(45) = 1/$$\sqrt{2}$$
sine^2(45) = (1/$$\sqrt{2}$$)^2 = .5

 

[jamesd2008]

ok, thanks is the same as sine^2(45)*sine^2(45). :-)

 

[CRGreathouse]

Yes. Confusing notation, isn't it... pity.

 

[CellCoree]

Sine squared (sin^2) in mathematical calculations refers to the squared value of the sine function. In other words, it is the result of multiplying the sine of an angle by itself. Similarly, cosine squared (cos^2) would be the result of multiplying the cosine of an angle by itself. In the given problem, you are being asked to calculate the product of sine squared of 45 degrees and cosine squared of 45 degrees. This can be solved by first finding the value of sine and cosine of 45 degrees (which is √2/2) and then squaring it. The final result would be 1/4. This calculation may be used in various mathematical equations and applications, such as in trigonometry or physics.