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\int e^x\cos (x)dx \int_{0}^{\pi}\sin(x)dx \sum_{n=0}^{\infty}\frac{3}{2^n} Show More

2020年9月21日 · Write $\cos(5x)$ as a function of $\cos(x)$, answer with a polynomial. $$e^{i\cdot5x} = \cos(5x) + i\sin(5x)$$ $$\cos(5x) + i\sin(5x) = (\cos(x) + i\sin(x))^5$$ and using the binomial theorem I th...

5x + sinx + C Explanation: Split into two integrals; \displaystyle\int_ {_} {5} {\left. {d} {x}\right.} + \displaystyle\int_ {_} {\cos { {\left ( {x}\right)}}} {\left. {d} {x}\right.} Solve seperately; ... It is the amplitude, it will make the upper & lower bounds of the function on the y-axis higher and lower.

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2020年11月22日 · #cos #cos5x #trigonometry

Use the form acos(bx−c)+ d a cos (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 cos(5x) cos (5 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.

Divide each term in 5x = π 2 5 x = π 2 by 5 5 and simplify. Tap for more steps... The cosine function is positive in the first and fourth quadrants. To find the second solution, subtract the reference angle from 2π 2 π to find the solution in the fourth quadrant. 5x = 2π − π 2 5 x = 2 π - π 2. Solve for x x. Tap for more steps...

The general solution for cos(5x)=0 is x= pi/(10)+(2pin)/5 ,x=(3pi}{10}+\frac{2pin)/5

2017年2月1日 · I was asked to find a formula for $\cos(5x)$ in terms of $\sin(x)$ and $\cos(x)$. I tried to use the formula $\cos(5x) + i\sin(5x) = (\cos(x)+i\sin(x))^5 $ and what I get is $16i\sin^5(x) - 2...