Question

In a right angled triangle, $\angle A=\theta$ is an acute angle.

Then, $\cos \theta \times \sec \theta$ is equal to

• A. $0$
• B. $1$
• C. $-1$
• D. None of these

Answer 1

The correct option is B $1$

$\cos \theta =\frac{x}{r}$ and $\sec \theta =\frac{r}{x}$

$\therefore \cos \theta \times \sec \theta =\frac{x}{r}\times \frac{r}{x}=1$