How do you simplify $({cos}^{2} x) (tan x + cot x)$ $(cos^2 x)(tan x + cot x)$ ?

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How do you simplify $({cos}^{2} x) (tan x + cot x)$ $(cos^2 x)(tan x + cot x)$ ?

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Answer 1 · 2015-07-29T01:21:57

Simplify $({cos}^{2} x) (tan x + cot x)$ $(cos^2 x)(tan x + cot x)$

Ans: cot x

Explanation:

${cos}^{2} x (\frac{sin x}{cos x} + \frac{cos x}{sin x}) = {cos}^{2} x (\frac{1}{sin x . cos x})$ $cos^2 x(sin x/cos x + cos x/sin x) = cos^2 x(1/(sin x.cos x))$ =

$= \frac{cos x}{sin x} = cot x$ $= cos x/sin x = cot x$

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How do you simplify $({cos}^{2} x) (tan x + cot x)$ $(cos^2 x)(tan x + cot x)$ ?

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Explanation:

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How do you simplify $({cos}^{2} x) (tan x + cot x)$ $(cos^2 x)(tan x + cot x)$ ?