Question

Simplify the problem: Sin theta Sec Theta

Answer 1

`\tan \theta`

Explanation:

We have to simplify the following expression as given by

`\sin \theta * \sec \theta`

=
`(\sin \theta)/(\cos \theta)`

=
`\tan \theta` ( Answer )

Because, we know that
`\sec \theta =(1)/(\cos \theta)` and
`\tan \theta = (\sin \theta)/(\cos \theta)`

If we consider
`\sin \theta = (Perpendicular)/(Hypotenuse)` and
`\sec \theta = (Hypotenuse)/(Base)`,

then
`\sin \theta * \sec \theta = (Perpendicular)/(Hypotenuse)* (Hypotenuse)/(Base) = (Perpendicular)/(Base)= \tan \theta`