What is cos^{-2}(y)dy ?

The solution to 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 cos^{-2}(y)dy

simplify

cos^{- 2} (y) d y

sec^{2} (y) d y

Solution steps

cos^{- 2} (y) d y

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

= \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)

6 cos (x - 3 0^{\circ})

- 2 cos (6 x - (\frac{( π )}{( 2 )}))

tan (arcsin (\frac{h - T}{W}))

tan (- 9 0^{\circ} - a)

cos (\frac{π}{2} - x) - cos (x)