What is (cos(A)+1)(cos(A)-1) ?

The solution to (cos(A)+1)(cos(A)-1) is -sin^2(A)

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simplify (cos(A)+1)(cos(A)-1)

simplify

(cos (A) + 1) (cos (A) - 1)

- sin^{2} (A)

Solution steps

(cos (A) + 1) (cos (A) - 1)

Expand

(cos (A) + 1) (cos (A) - 1) : cos^{2} (A) - 1

= cos^{2} (A) - 1

Use the Pythagorean identity:

1 = cos^{2} (A) + sin^{2} (A)

1 - cos^{2} (A) = sin^{2} (A)

= - sin^{2} (A)

\frac{1}{( 1 - x ) ( 2 - x )}

(x + i y)^{2} (x - i y)

(x^{3} + y^{3}) d x

\frac{2 x ^{2} + 1}{( x - 3 ) ^{2}}

2 (e - 1)

What is (cos(A)+1)(cos(A)-1) ?
The solution to (cos(A)+1)(cos(A)-1) is -sin^2(A)