$\frac{1}{1-\sin\left(x\right)}+\frac{-1}{1+\sin\left(x\right)}=2\tan\left(x\right)\sec\left(x\right)$

Impara online a risolvere i problemi di identità trigonometriche passo dopo passo.

$\frac{1}{1-\sin\left(x\right)}+\frac{-1}{1+\sin\left(x\right)}$

Impara online a risolvere i problemi di identità trigonometriche passo dopo passo. 1/(1-sin(x))+-1/(1+sin(x))=2tan(x)sec(x). Starting from the left-hand side (LHS) of the identity. Apply the formula: \frac{a}{b}+\frac{c}{f}=\frac{af+cb}{bf}, where a=1, b=1-\sin\left(x\right), c=-1 and f=1+\sin\left(x\right). Apply the formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, where a=1, b=\sin\left(x\right), c=-\sin\left(x\right), a+c=1+\sin\left(x\right) and a+b=1-\sin\left(x\right). Apply the formula: -\left(a+b\right)=-a-b, where a=1, b=-\sin\left(x\right), -1.0=-1 and a+b=1-\sin\left(x\right).