Selesaikan sec^2θ-tan^2θ=

$$\sec ^ { 2 } \theta - \tan ^ { 2 } \theta =$$

Faktor

$$1$$

Langkah Solusi

Selisih kuadrat dapat difaktorkan menggunakan aturan: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(\frac{1}{\cos(\theta )}-\tan(\theta )\right)\left(\frac{1}{\cos(\theta )}+\tan(\theta )\right)$$

Sederhanakan \frac{1}{\cos(\theta )}-\tan(\theta ). Faktor dari \frac{1}{\cos(\theta )}.

$$\frac{1-\sin(\theta )}{\cos(\theta )}$$

Sederhanakan \frac{1}{\cos(\theta )}+\tan(\theta ). Faktor dari \frac{1}{\cos(\theta )}.

$$\frac{1+\sin(\theta )}{\cos(\theta )}$$

Tulis ulang ekspresi lengkap yang difaktorkan.

$$\left(1-\sin(\theta )\right)\left(1+\sin(\theta )\right)\times \left(\frac{1}{\cos(\theta )}\right)^{2}$$

Evaluasi

$$1$$