Question

Simplify the problem: Sin theta Sec Theta

Answer 1

Answer:

$\tan \theta$

Step-by-step explanation:

We have to simplify the following expression as given by

$\sin \theta \times \sec \theta$

= $\frac{\sin \theta}{\cos \theta}$

= $\tan \theta$ ( Answer )

Because, we know that $\sec \theta =\frac{1}{\cos \theta}$ and $\tan \theta = \frac{\sin \theta}{\cos \theta}$

If we consider $\sin \theta = \frac{Perpendicular}{Hypotenuse}$ and $\sec \theta = \frac{Hypotenuse}{Base}$,

then $\sin \theta \times \sec \theta = \frac{Perpendicular}{Hypotenuse}\times \frac{Hypotenuse}{Base} = \frac{Perpendicular}{Base}= \tan \theta$