#trigonometry #sin #trigonometryidentity

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A good method to expand sin(7x) is by using De Moivre's theorem (r(cos(x) + i ⋅ sin(x))n = rn(cos(nx) + i ⋅ sin(nx))). When r = 1, cos(nx) + i ⋅ sin(nx) = (cos(x) + i ⋅ sin(x))n. cos(nx) + i ⋅ sin(nx) = (cos(x) + i ⋅ sin(x))n. Expand the right hand side of cos(nx) + i ⋅ sin(nx) = (cos(x) + i ⋅ sin(x))n using the binomial theorem.

Use the form asin(bx−c)+ d a sin (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |. Find the period of sin(7x) sin (7 x). Tap for more steps... Find the phase shift using the formula c b c b. Tap for more steps... List the properties of the trigonometric function.

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To solve a trigonometric simplify the equation using trigonometric identities. Then, write the equation in a standard form, and isolate the variable using algebraic manipulation to solve for …

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What is the general solution for sin(7x)=0 ? The general solution for sin(7x)=0 is x=(2pin)/7 ,x= pi/7+(2pin)/7

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Use the Sum to Product identity: sin (s) − sin (t) = 2 sin (2 s − t ) cos (2 s + t ) = 2 sin (2 7 x − x ) cos (2 7 x + x )