$$\sin t = \frac{1}{2i}(e^{it}-e^{-it})$$ Thus we have $\sin^3t = \frac{i}{8}(e^{it}-e^{-it})^3 = \frac{i}{8}(e^{3it}-3e^{it}+3e^{-it}-e^{-3it})$. Can you take it from here?

The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan). What is trigonometry used for? Trigonometry is used in a variety of fields and applications, including …

The general solution for sin^3(t)=sin(t) is t=2pin,t=pi+2pin,t=(3pi)/2+2pin,t= pi/2+2pin

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意思是sint的3次方对t 来求导是么 那么 [(sint)^3]' =3(sint)^(3-1) *(sint)' 而显然(sint)'=cost 所以得到 [(sint)^3]' =3(sint)^2 *cost

To prove the triple-angle identities, we can write \sin 3 \theta sin3θ as \sin (2 \theta + \theta) sin(2θ+θ). Then we can use the sum formula and the double-angle identities to get the desired …

2019年7月31日 · Using de Moivre's formula, proving that $ \sin(3t) = 3\sin(t) - 4\sin^3(t) $ is straightforward. I'm curious whether this formula has a geometric proof or one that doesn't use …

Identities expressing trig functions in terms of their supplements. sin ( t) = sin t. cos ( t) = cos t. tan ( t) = tan t. Difference formulas for sine and cosine. Sum, difference, and double angle …

You press the "sin" button on the calculator and then press: \displaystyle{(} , 3, \displaystyle\pi , \displaystyle{)} and \displaystyle= . Explanation: Make sure it is set on ...

2023年11月8日 · The Laplace transform of sin^3t is equal to 6/[(s 2 +1)(s 2 +9)]. In this article, let us learn to find the Laplace of sin cube t. The Laplace transform formula of sin 3 t is given …