What is sin(2x)-sin(-2x) ?

The solution to sin(2x)-sin(-2x) is 2sin(2x)

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simplify sin(2x)-sin(-2x)

simplify

sin (2 x) - sin (- 2 x)

2 sin (2 x)

Solution steps

sin (2 x) - sin (- 2 x)

Use the negative angle identity:

sin (- x) = - sin (x)

= - (- sin (2 x)) + sin (2 x)

Apply rule

- (- a) = a

= sin (2 x) + sin (2 x)

Add similar elements:

sin (2 x) + sin (2 x) = 2 sin (2 x)

= 2 sin (2 x)

42 cos (π x - \frac{π}{4})

4 sin (\frac{x}{3} - \frac{π}{3})

cos (- \frac{π}{2} + x)

sin (2 π - t)

sec (arccos (u))