Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Dimostrare da RHS (lato destro)
- Dimostrare dal LHS (lato sinistro)
- Esprimere tutto in seno e coseno
- Equazione differenziale esatta
- Equazione differenziale lineare
- Equazione differenziale separabile
- Equazione differenziale omogenea
- Prodotto di binomi con termine comune
- Metodo FOIL
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Starting from the right-hand side (RHS) of the identity
Apply the trigonometric identity: $\sec\left(\theta \right)$$=\frac{1}{\cos\left(\theta \right)}$
Apply the trigonometric identity: $\csc\left(\theta \right)$$=\frac{1}{\sin\left(\theta \right)}$
Apply the formula: $\frac{a}{b}\frac{c}{f}$$=\frac{ac}{bf}$, where $a=1$, $b=\cos\left(x\right)$, $c=1$, $a/b=\frac{1}{\cos\left(x\right)}$, $f=\sin\left(x\right)$, $c/f=\frac{1}{\sin\left(x\right)}$ and $a/bc/f=\frac{1}{\cos\left(x\right)}\frac{1}{\sin\left(x\right)}$
Apply the formula: $\frac{a}{b}$$=\frac{a}{b}\frac{\sin\left(var\right)^2+\cos\left(var\right)^2}{\sin\left(var\right)^2+\cos\left(var\right)^2}$, where $a=1$, $b=\cos\left(x\right)\sin\left(x\right)$ and $a/b=\frac{1}{\cos\left(x\right)\sin\left(x\right)}$
Apply the formula: $\frac{a}{b}\frac{c}{f}$$=\frac{ac}{bf}$, where $a=1$, $b=\cos\left(x\right)\sin\left(x\right)$, $c=\sin\left(x\right)^2+\cos\left(x\right)^2$, $a/b=\frac{1}{\cos\left(x\right)\sin\left(x\right)}$, $f=\sin\left(x\right)^2+\cos\left(x\right)^2$, $c/f=\frac{\sin\left(x\right)^2+\cos\left(x\right)^2}{\sin\left(x\right)^2+\cos\left(x\right)^2}$ and $a/bc/f=\frac{1}{\cos\left(x\right)\sin\left(x\right)}\frac{\sin\left(x\right)^2+\cos\left(x\right)^2}{\sin\left(x\right)^2+\cos\left(x\right)^2}$
Apply the formula: $\sin\left(\theta \right)^2+\cos\left(\theta \right)^2$$=1$
Apply the formula: $\sin\left(\theta \right)^2+\cos\left(\theta \right)^2$$=1$
Since we have reached the expression of our goal, we have proven the identity
