What is (csc^2(x)-1)/(csc^2(x)) ?

The solution to (csc^2(x)-1)/(csc^2(x)) is cos^2(x)

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simplify (csc^2(x)-1)/(csc^2(x))

simplify

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

cos^{2} (x)

Solution steps

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

Express with sin, cos

= 1 - sin^{2} (x)

Rewrite using trig identities

= cos^{2} (x)

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

(2 x + 1) (4 x^{2} - 2 x + 1)

\frac{tan ( x )}{cot ( x )}

(\frac{- 1}{10})^{- 2}

(0.8 - x) (0.25 - x)

What is (csc^2(x)-1)/(csc^2(x)) ?
The solution to (csc^2(x)-1)/(csc^2(x)) is cos^2(x)