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It just simplifies down to 1=1. You have to use your trig identities... tan=sin/cos cot=cos/sin thus tan x cot= (sin/cos) (cos/sin) since sin is in the numerator for tan, when it is multiplied by cot (which has sin in the denominator) both of the signs cancel and both now have a value of 1. The same happens with cos. so you get 1 x 1=1 so there is your answer. just learn your trig identities and you will understand

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โˆ™ 2009-08-13 01:21:43
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Q: How do you simplify tan cot equals 1?
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What is the answer to cot squared x - tan squared x equals 0?

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It depends if 1 plus tan theta is divided or multiplied by 1 minus tan theta.

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Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.

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3cot(A) = 4 so cot(A) = 4/3 then tan(A) = 1/(4/3) = 3/4 and so 1 - tan(A) = 1-3/4 = 1/4

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