Finding solution to sin of arcsin

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.
andrew05
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Joined: Tue Apr 16, 2013 6:07 am
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Finding solution to sin of arcsin

Postby andrew05 » Tue Apr 16, 2013 10:18 am

An expression on my homework I just CAN'T figure out is sin(arccos (x/2)+(pi/3))

I'm not sure if I should do the arccos of both x/2 and pi/3...or if I should do the arccos of x/2, add pi/3, then take the sin of that. I've tried both ways and get answers that make sense either way.

theshadow
Posts: 100
Joined: Sun Feb 22, 2009 11:12 pm

Re: Finding solution to sin of arcsin

Postby theshadow » Tue Apr 16, 2013 12:55 pm

andrew05 wrote:An expression on my homework I just CAN'T figure out is sin(arccos (x/2)+(pi/3))

i'd do the angle sum formula for sines & then do the parts separately:

sin(arccos(x/2))cos(pi/3) + cos(arccos(x/2))sin(pi/3)


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