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

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asked Feb 15, 2023 100k views

1 Answer

JBaczuk · Answer 1 · 2023-02-19T15:12:57+0000

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