développer (sec(x)+csc(x))^2

Solution

développer

(sec (x) + csc (x))^{2}

sec^{2} (x) + 2 csc (x) sec (x) + csc^{2} (x)

étapes des solutions

(sec (x) + csc (x))^{2}

Appliquer la formule du carré parfait:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(sec (x) + csc (x))^{2} = sec^{2} (x) + 2 sec (x) csc (x) + csc^{2} (x)

= sec^{2} (x) + 2 sec (x) csc (x) + csc^{2} (x)

= sec^{2} (x) + 2 csc (x) sec (x) + csc^{2} (x)

sin (x) (cot (x) + csc (x))

(x - 2) (x - 3)

\frac{x ^{2} - 7 x + 9}{( x - 3 ) ^{2}}

\frac{1 - e ^{- 2 s}}{s ( s ^{2} + 2 s + 5 )}

x^{\frac{2}{3}} (x - 4)