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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Linear Inequalities Calculator >

Linear Inequalities Calculator

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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laplace transform sin(x−7)

Solution

−sin(7)s+cos(7)s²+1

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Solution steps

One step at a time

tan(x)−cot(x)tan(x)+cot(x) =2sin²(x)−1

Manipulating left side

tan(x)−cot(x)tan(x)+cot(x)

Express with sin, cos

=−cos²(x)+sin²(x)cos²(x)+sin²(x)

Rewrite using trig identities

=−1+2sin²(x)

=2sin²(x)−1

We showed that the two sides could take the same form

⇒ True

Solve instead

inverse laplace sin(x−7)

Linear Inequalities Examples

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Solving linear inequalities is pretty simple. A linear inequality is an inequality which involves a linear function....

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