write the expression as the sine, cosine, or tangent of an angle: cos60°cos10°-sin60°sin10°
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
use the identity
cos(x+y) = cos(x)cos(y) - sin(x)sin(y)
OpenStudy (anonymous):
could you do it for me?
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
compare
cos60°cos10°-sin60°sin10°
to
cos(x+y) = cos(x)cos(y) - sin(x)sin(y)
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jimthompson5910 (jim_thompson5910):
what is x? what is y?
OpenStudy (anonymous):
10 and 60?
jimthompson5910 (jim_thompson5910):
actually 60 and 10, but you got the idea
cos(x+y) = cos(x)cos(y) - sin(x)sin(y)
cos(60+10) = cos(60)cos(10) - sin(60)sin(10)
cos(70) = cos(60)cos(10) - sin(60)sin(10)
OpenStudy (anonymous):
that's all?
jimthompson5910 (jim_thompson5910):
yep
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OpenStudy (anonymous):
what about sin110°cos80°+cos110°sin80°
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
use
sin(x+y) = sin(x)cos(y) + cos(x)sin(y)
OpenStudy (anonymous):
ok and whats the formula foe tan325-tan86/1+tan325tan86