What is expand (cos(x)-cot(x))(cos(x)+cot(x)) ?

The solution to expand (cos(x)-cot(x))(cos(x)+cot(x)) is cos^2(x)-cot^2(x)

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expand (cos(x)-cot(x))(cos(x)+cot(x))

expand

(cos (x) - cot (x)) (cos (x) + cot (x))

cos^{2} (x) - cot^{2} (x)

Solution steps

(cos (x) - cot (x)) (cos (x) + cot (x))

Apply Difference of Two Squares Formula:

(a - b) (a + b) = a^{2} - b^{2}

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

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

(x^{\frac{1}{3}} - c^{\frac{1}{3}}) (x^{\frac{1}{3}} + c^{\frac{1}{3}})

\frac{1 - cos ( x ^{2} + y ^{2} )}{( x ^{2} + y ^{2} ) ^{2}}

\frac{( x - 2 ) ^{2}}{9}

(13 + 2) (3 - 7)

\frac{( x y + ( 1 - δ ) n )}{n _{1} ( 1 + n _{1} )}

What is expand (cos(x)-cot(x))(cos(x)+cot(x)) ?
The solution to expand (cos(x)-cot(x))(cos(x)+cot(x)) is cos^2(x)-cot^2(x)