What is (e^ty)/(1+tan^2(y)) ?

The solution to (e^ty)/(1+tan^2(y)) is (e^ty)/(sec^2(y))

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simplify (e^ty)/(1+tan^2(y))

simplify

\frac{e ^{t} y}{1 + tan ^{2} ( y )}

\frac{e ^{t} y}{sec ^{2} ( y )}

Solution steps

\frac{e ^{t} y}{1 + tan ^{2} ( y )}

Use the Pythagorean identity:

tan^{2} (x) + 1 = sec^{2} (x)

= \frac{y e ^{t}}{sec ^{2} ( y )}

sin (arccos (- \frac{1}{p}))

csc (\frac{3 π}{2} - b)

sin (n \cdot (- \frac{π}{2}))

sin (- x) csc (x)

25 sec^{2} (5 x) - 25

What is (e^ty)/(1+tan^2(y)) ?
The solution to (e^ty)/(1+tan^2(y)) is (e^ty)/(sec^2(y))