What is (sin(θ))/(cos^2(θ))dθ ?

The solution to (sin(θ))/(cos^2(θ))dθ is (tan(θ)dθ)/(cos(θ))

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simplify (sin(θ))/(cos^2(θ))dθ

simplify

\frac{sin ( θ )}{cos ^{2} ( θ )} d θ

\frac{tan ( θ ) d θ}{cos ( θ )}

Solution steps

\frac{sin ( θ )}{cos ^{2} ( θ )} d θ

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sin ( θ ) d θ}{cos ^{2} ( θ )}

Use the basic trigonometric identity:

\frac{sin ( x )}{cos ( x )} = tan (x)

= \frac{d θ tan ( θ )}{cos ( θ )}

- (5 sin (x))^{2} + 25

sin (\frac{3}{2} π + θ)

\frac{( 1 + tan ^{2} ( x ) )}{se x ( x )}

sin (x - \frac{11 π}{6})

\frac{sin ( - 2 π + θ )}{cos ( 3 π - θ )}

What is (sin(θ))/(cos^2(θ))dθ ?
The solution to (sin(θ))/(cos^2(θ))dθ is (tan(θ)dθ)/(cos(θ))