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

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

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

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)

\frac{( 1 + sin ( a ) )}{( 1 - sin ( a ) )}

\frac{sin ( x )}{sin ( \frac{x}{2} )}

cos (x) 1 - sin (x)

p^{2} + p^{8}

7 h^{2} + 2 h + 5 - h^{2} + h

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