if f(x) = a sin (bx) , what is the maximum value in the range? (1) a (2) b (3) a+ b (4) there is no maximum eh? also Evaluate: sin( arc cos radical2/2) (1)1 (2) radical 2 / 2 (3) radical 3/2 (4) radical 2

Heh , i used to know how to do this stuff but its been a little and my assignment is kinda cumulative and i forget a lot.

brother just explained to me that 'arc' means inverse, so then that problem simplifies into sin(45). And we think the answer to the first one is 'no max' but any help would be...helpful.

1. (1) "a" is the amplitude of the sine wave. the function varies from -a to a. that "b" just adjusts the period--makes it shorter or longer of a wave. has nothing to do with the maximum or minimum values of the function. there's a way of solving that problem, more like checking your common sense, with calculus, but i'm guessing this is a precal class? 2. draw a triangle. the angle is arc cos (sqrt(2)/2). so that means the adjacent side is sqrt(2) and the hypoteneuse is 2. use the pythogorean theorem to find the opposite side of the triangle. then the sine of that angle is just opposite over hypoteneuse. you can do that your self! in other news, i just found out i got a 99/100 on my differential equations test. the point i missed was because i said that 3/8 - 1/4 = 1/4. variation of parameters? no problem! arithemetic? watch out!

there most certainly IS a maximum! just graph the thing! is there a value of y that this function cannot get bigger than, for every value of x in its domain? there damn sure is. the sine function will reach its maximum when x = pi/2 + 2 n pi, where n is some integer. and that second problem, the "draw a representative triangle" method is VERY helpful. it rears its head again in calc 2 at some point, too.

Yeah i was being silly. Silly goose me. Im taking calc 2 next year (took trig and precalc this year) so illl probably be making math threads often when im confused!

there's always www.physicsforums.com for that stuff. plus, you could ask them to do your science homework, too!