What is 1/(cos^2(x))-1/(sin^2(x)) ?

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

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simplify 1/(cos^2(x))-1/(sin^2(x))

simplify

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

sec^{2} (x) - csc^{2} (x)

Solution steps

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

Use the basic trigonometric identity:

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

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

Simplify

\frac{1}{cos ^{2} ( x )} : sec^{2} (x)

= sec^{2} (x) - csc^{2} (x)

13 a - 13 b

\frac{- ( 32 a ^{2} \cdot b )}{( 4 a \cdot b ^{5} )}

3 (3 x + 2 y)

2 n^{2} + 4 n - 1260

27 t^{3} - 125

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