What is (tan(x)-cot(x))/(tan(x)+cot(x))+cos^2(x) ?

The solution to (tan(x)-cot(x))/(tan(x)+cot(x))+cos^2(x) is sin^2(x)

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simplify (tan(x)-cot(x))/(tan(x)+cot(x))+cos^2(x)

simplify

\frac{tan ( x ) - cot ( x )}{tan ( x ) + cot ( x )} + cos^{2} (x)

sin^{2} (x)

Solution steps

\frac{tan ( x ) - cot ( x )}{tan ( x ) + cot ( x )} + cos^{2} (x)

Cancel

\frac{tan ( x ) - cot ( x )}{tan ( x ) + cot ( x )} : - cos (2 x)

= - cos (2 x) + cos^{2} (x)

Rewrite using trig identities

= sin^{2} (x)

- 2 \cdot (- 4)

(4 y - 1)^{3}

2 x (n - 1) - 3 y (n - 1)

x^{2} + 3 x^{2}

∣ x ∣^{2}

What is (tan(x)-cot(x))/(tan(x)+cot(x))+cos^2(x) ?
The solution to (tan(x)-cot(x))/(tan(x)+cot(x))+cos^2(x) is sin^2(x)