What is 1/(cos^2(y))dy ?

The solution to 1/(cos^2(y))dy is sec^2(y)dy

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(cos^2(y))dy

simplify

\frac{1}{cos ^{2} ( y )} d y

sec^{2} (y) d y

Solution steps

\frac{1}{cos ^{2} ( y )} d y

Multiply fractions:

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

= \frac{1 \cdot d y}{cos ^{2} ( y )}

Multiply:

1 \cdot d y = d y

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

Use the basic trigonometric identity:

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

= d y sec^{2} (y)

cos (\frac{17 π}{2} - x)

sin (arcsin (\frac{x}{4}))

sin (- 18 0^{\circ} - θ)

sin (12 π + x)

1 - sin^{2} (k)