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=(1)/(\cos x)`

Substitute it on the trigonometric equation above, we get

`\sec x\sin x=(1)/(\cos x)\sin x`

Or

`\sec x\sin x=(\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