Question

Simplify.secx sinhUse algebra and the fundamental trigonometric identities.Your answer should be a number or use a single trigonometric function.sinocosatancotsecocscХ?

Answer 1

We need to simplify the given trigonometric equation

$\sec x\sin x$

The function secant is defined as

$\sec x=\frac{1}{\cos x}$

Substitute it on the trigonometric equation above, we get

$\sec x\sin x=\frac{1}{\cos x}\sin x$

Or

$\sec x\sin x=\frac{\sin x}{\cos x}$

The trigonometric expression sin x/cos x is basically the tangent function, hence

$\sec x\sin x=\tan x$

Answer: tan x