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

The solution to (2+cot^2(x))/(csc^2(x))-1 is sin^2(x)

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

simplify

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

sin^{2} (x)

Solution steps

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

Join

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

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

Use the basic trigonometric identity:

\frac{1}{csc ( x )} = sin (x)

= sin^{2} (x)

e^{l n (t)}

(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)

a^{1}

\frac{1}{x} + 1

(4 x - 4)^{2}

What is (2+cot^2(x))/(csc^2(x))-1 ?
The solution to (2+cot^2(x))/(csc^2(x))-1 is sin^2(x)