
What is the integral of #cos^6(x)#? - Socratic
2014年12月19日 · See explanation. This will be a long answer. So what you want to find is: int cos^6(x)dx There's a rule of thumb that you can remember: whenever you need to integrate an …
How to prove sin^6x+cos^6x=1-3sin^2xcos^2x? - Socratic
2018年5月23日 · LHS=sin^6x+cos^6x =(sin^2x)^3+(cos^2x)^3 Using formula a^3+b^3=(a+b)^3-3ab(a+b) =(sin^2x+cos^2x)^3+3sin^2xcos^2x(sin^2x+cos^2x) =1^3+3sin^2xcos^2x*1 =1 …
What is int cos^6x dx? - Socratic
2016年1月30日 · int cos^6 x dx = 5/16 x + 1/4 sin 2x + 3/16 sin 4x -1/48 sin^3 2x int cos^6x dx We can rewrite this function as; int (cos^2x)^3dx Now we can rewrite cos^2 x using the half angle …
Factorize sin^6x-cos^6x? - Socratic
2017年1月3日 · Using identity #a^3-b^3=(a-b)(a^2+b^2-ab)#. #sin^6x−cos^6x# = #(sin^2x)^3-(cos^2x)^3# = #(sin^2x-cos^2x)((sin^2x)^2+(cos^2x)^2-sin^2xcos^2x)#
What is the integral of cosine^6 (x) dx - Socratic
2018年7月29日 · int cos^6x dx = ( 8cos^5x sinx +10 cos^3x sinx +15cosxsinx+15x)/48+C Write the integrand as: cos^6x = cos^5x * cosx So: int cos^6x dx = int cos^5x * cosx dx Integrate by …
What is the integral of cos^2(6x) dx? - Socratic
2016年6月20日 · Recall that #cos^2theta=(1+cos2theta)/2.# #:. cos^2(6x)=(1+cos12x)/2.# #:. intcos^2(6x)dx=int(1+cos12x)/2dx=(1/2){x+(sin12x)/12}+C.#
Amplitude, Period and Frequency - Trigonometry - Socratic
Frequency and period are related inversely. A period #P# is related to the frequency #f# # P = 1/f#. Something that repeats once per second has a period of 1 s.
Solve using the double angle understanding? Cos6x - Socratic
2018年6月6日 · pi/6; pi/4; pi/3; (3pi)/4; (+ (kpi)/2) cos 6x + cos 4x + cos 2x = 0 (1) Use trig identity: cos (a + b) = cos ((a + b)/2)cos ((a - b)/2) We have: cos 6x + cos 2x = 2cos 4xcos 2x Equation …
How do you find the derivative of #sin(cos(6x))#? - Socratic
2018年1月18日 · How do you find the derivative of #sin(cos(6x))#? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 2 Answers
How do you determine the amplitude and period for y=-5 cos 6x?
Look at the coefficients of the function and the function variable respectively. The "period" is the distance or time it takes for the function to complete one full cycle - 360^o. The "amplitude" is …