prove (cos(2x)-cos(4x))/(sin(2x)+sin(4x))=tan(x)

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log_□

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(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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prove cos(2x)−cos(4x)sin(2x)+sin(4x) =tan(x)

Solution

True

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Solution steps

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cos(2x)−cos(4x)sin(2x)+sin(4x) =tan(x)

Manipulating left side

cos(2x)−cos(4x)sin(2x)+sin(4x)

Rewrite using trig identities

=sin(x)cos(x)

Use the basic trigonometric identity: sin(x)cos(x) =tan(x)

=tan(x)

We showed that the two sides could take the same form

⇒ True

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

prove (cos(2x)-cos(4x))/(sin(2x)+sin(4x))=tan(x)

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Solution steps

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