cot(THETA) is the same as cos(THETA)/sin(THETA).
Now when you divide sin(THETA) by cot(THETA), you get sin^2(THETA)/cos(THETA) * cos(THETA).
The cosines cancel, and you're left with
sin^2(THETA)
2007-05-16 10:10:04
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answer #1
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answered by Nicknamr 3
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sin²A +sin²B+2 sinA sinB+cos²A+cos²B+2cosAcosB - 2 (1) + 2 sin A sin B + (1) + 2 cos A cos B - 2 2 ( cos A cos B + sin A sin B ) 2 cos ( A - B )
2016-04-01 04:47:49
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answer #2
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answered by Anonymous
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Keep in mind: tan(theta) = sin(theta)/cos(theta) and cot(theta) = 1/tan(theta) = cos(theta)/sin(theta)
Thus (sin/cot) X cos = [sin//cos/sin] X cos = sin^2
Also keep in mind: 1 = cos^2 + sin^2; so that sin^2 = 1 - cos^2, which is useful.
2007-05-16 10:17:07
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answer #3
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answered by oldprof 7
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Split the cotangent term into cos(θ) / sin(θ), then simplify:
[sin(θ) / cot(θ)] cos(θ)
[sin(θ) / (cos(θ)/sin(θ)) ] cos(θ)
[sin^2 (θ) / cos(θ) ] cos(θ)
sin^2 (θ)
2007-05-16 10:10:21
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answer #4
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answered by Anonymous
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(sin x / cot x)(cos x)
(sin x)(tan x)(cos x)
(sin x)((sin x)/(cos x))(cos x)
sin^2 x
2007-05-16 10:08:20
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answer #5
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answered by hawkeye3772 4
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(sinθ/cotθ)cosθ = (sinθ)(sinθ/cosθ)cosθ = sin^2θ
2007-05-16 10:10:27
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answer #6
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answered by Damian_Anderson 2
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(sin)(tan)(cos)
(sin)[(sin)/(cos)](cos): cos cancels out
sin*sin
2007-05-16 10:10:17
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answer #7
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answered by Cool Nerd At Your Service 4
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