[size=150]Move the slider to change the size of the angle marked as theta in the semicircle shown below.[/size]

a. Find an obtuse angle with the same sine as sin(40).[br]b. Find an obtuse angle with the same sine as sin(10).[br]c. Find an acute angle with the same sine as sin(150).[br]d. Find an acute angle with the same sine as sin(160)[br][br]What's the relationship between the sine of an angle and its supplement; [math]\theta[/math] and [math]\left(180-\theta\right)[/math]?

Find [b]TWO[/b] angles for;[br][br]a. [math]sin^{-1}\left(0.5\right)[/math][br]b. [math]sin^{-1}\left(0.94\right)[/math][br]c. [math]sin^{-1}\left(0.53\right)[/math][br]d. [math]sin^{-1}\left(0.105\right)[/math]

How would you describe the relationship between the cosine of an angle, [math]\theta[/math] and the cosine of its supplement, [math]\left(180-\theta\right)[/math]?