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

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

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

simplify

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

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

Solution steps

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

Use the basic trigonometric identity:

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

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

Express with sin, cos

= \frac{cos ^{2} ( x ) + sin ^{2} ( x )}{cos ^{2} ( x ) sin ^{2} ( x )}

Rewrite using trig identities

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

(2 x - 5) (3 x + 2)

(2 x + 4 y)^{2}

lo g_{10} (x^{4})

x^{4} - 3 x^{3}

(1 + x)^{- 2}

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