What is (dy)/(cos^2(y)) ?

The solution to (dy)/(cos^2(y)) is sec^2(y)dy

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simplify (dy)/(cos^2(y))

simplify

\frac{d y}{cos ^{2} ( y )}

sec^{2} (y) d y

Solution steps

\frac{d y}{cos ^{2} ( y )}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= d y sec^{2} (y)

1 + tan^{2} (9 0^{\circ} - θ)

sin (\frac{5 π}{2} + 2 α)

1 - cos (2 x)

tan (θ + π)

cos (arcsin (\frac{x - h}{r}))