(1+tan(a)^2)/(csc(a)^2)+sin(a)^21/(sec(a)^2)

 Esercizio

$\frac{1+tan^2\left(a\right)}{csc^2\left(a\right)}+sin^2\left(a\right)+\frac{1}{sec^2\left(a\right)}$

 

Applicare l'identitÃ trigonometrica: $\frac{a}{\sec\left(\theta \right)^n}$$=a\cos\left(\theta \right)^n$, dove $a=1$, $x=a$ e $n=2$

$\frac{1+\tan\left(a\right)^2}{\csc\left(a\right)^2}+\sin\left(a\right)^2+\cos\left(a\right)^2$

 

Applicare la formula: $\sin\left(\theta \right)^2+\cos\left(\theta \right)^2$$=1$, dove $x=a$

$\frac{1+\tan\left(a\right)^2}{\csc\left(a\right)^2}+1$

 Why is sin(x)^2 + cos(x)^2 = 1 ?

 

Applying the trigonometric identity: $1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2$

$\frac{\sec\left(a\right)^2}{\csc\left(a\right)^2}+1$

 Why is tan(x)^2+1 = sec(x)^2 ?

 

Applicare l'identitÃ trigonometrica: $\frac{\sec\left(\theta \right)^n}{\csc\left(\theta \right)^n}$$=\tan\left(\theta \right)^n$, dove $x=a$ e $n=2$

$\tan\left(a\right)^2+1$

 

Applying the trigonometric identity: $1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2$

$\sec\left(a\right)^2$

 Why is tan(x)^2+1 = sec(x)^2 ?

$\sec\left(a\right)^2$

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