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A few homework questions - HSN forum

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A few homework questions


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#1 Gillz

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Posted 01 October 2006 - 01:00 PM

Was unsure as to how to go about answering these questions on my homework. Any help would be much appreciated smile.gif

Solve for 0 lessorequal.gif x lessorequal.gif 360 , correct to 1 decimal place where necessary:

1.

a) 3 cos power2.gifx - cosx = 0
b) 12 sin power2.gifx - 5sinx - 2 = 0

2.

a) State the maximum value of 10 / 110 - 20x + x power2.gif

#2 John

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Posted 01 October 2006 - 10:13 PM

1)

What you got to do here is to rearrange it, so you have the integers on one side and all the cosines/sines on the other, and you should be ab le to solve from there

2) And i'm not sure on this one lol

I'll get back to it

#3 Untouchable

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Posted 19 October 2006 - 10:41 PM

1. a) take out cosx as a common factor and this should give you
cosx(3cosx - 1) = 0
therefore cosx = 0 or 3cosx - 1 = 0
solve both equations

b) Let X = sinx
Rewrite equation 12X power2.gif -5X - 2 = 0
Factorise to slove this equation
Then substitiute X = sinx and solve resultant trig equations

2) Complete the square for the expression 110 - 20x + x power2.gif
to get the minimum value of the function f(x) = 110 - 20x + x power2.gif
substitute this value into the fraction (i.e.make this value the denominator) to obtain the maximum value of the fraction

#4 The Wedge Effect

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Posted 19 October 2006 - 11:02 PM

Bit late for a reply now. tongue.gif

#5 Untouchable

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Posted 20 October 2006 - 01:58 PM

Just joined the forum. Trying out the process of replying to a problem. huh.gif





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