loe8hmancryblue loe8hmancryblue

30-11-2016
Mathematics

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Verify the identity: sin x/tan x + cos x/cot x = sin x + cos x

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DavidOrrell DavidOrrell

30-11-2016

We know that tanx = sinx/cosx. Therefore sinx/tanx = sinx * cosx/sinx = cosx.

We also know that cotx = 1/tanx = cosx/sinx. Hence cosx/cotx = cosx * sinx/cosx = sinx.

Overall, this makes sinx + cosx.

Hope this helps :)

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