Prove That tanx × cotx = 1

Verify the Identity tan(x)cot(x)=1. Step 1. Start on the left side. Step 2. Convert to sines and cosines. Tap for more steps... Step 2.1.Read more

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tan(x) = sin(x)/cos(x) = 1/cot(x) tan(x) * cot(x) = 1 tan(x) * cos(x) = sin(x) tan(x) * (cot(xRead more

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First of all, we need to express tangent and cotangent in terms of sine and cosine using the identities: tanx = sinx / cosx and cotx = cosx / sinx.Read more

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Tanx + cotx = 1 ⇒sinx/cosx + cosx/sinx = 1 ⇒(sin²x + cos²x )/simx.cosx = 1 we know, Sin²Ф + cos²Ф = 1 ⇒1/simx.cosx = 1 ⇒2/2sinx.cosx = 1Read more

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when is tanx+cotx

tan(x) and cot(x) are always positive (or at least zero) in the first and third quadrants, or, from [0,Π/2] and [Π,3Π/2], then their sum will be greater than 1 ...Read more

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Because the two sides have been shown to be equivalent, the equation is an identity. 1 tan(x) + 1 cot(x) =tan(x)+cot(x) is an identity.Read more

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Since cot(x)=1/tan(x), we get that tan(x)cot(x)=1. Hence, tan(x)cot(x)=1 when both are defined at x and undefined otherwise.Read more

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