Ask a New Question

Question

Integration of sine square theta from 0 to 2pi
7 years ago

Answers

Steve
sin^2θ = (1-cos2θ)/2
so, you want
∫[0,2π] 1/2 (1-cos2θ) dθ = 1/2 (θ - 1/2 sin2θ) [0,2π] = π
7 years ago
bobpursley
INT sin^2 T dT over t=0 to 2PI
use the half angle formulas sin^2(T)= (1-cos(2T))/2

Int .5*(T-cos(2T)dt
= .5T - .25sin2T over limits
= .5(2PI)-.25sin(4PI)-.5*0+.25(sin(0)=PI

7 years ago

Related Questions

If tan(theta)=7/13 and cos(theta)<0, what is the exact value of sin(theta)? Determine the value of cos(theta) given that cos(pi − theta) = .2 (A) p.96 (B) .2 (C) −.2 (D)... what do thet mean when they say Outlook:stable,increasing Job Openings: large number and very sm... If Theta= -7pi/6; then cos(Theta) is... The graph of r = 7/ (3 cos(theta) + 2 sin(theta)) is a line. What is the slope of the line? How do y... Given that sec theta - tan theta =1/4,find sec theta + tan theta Find tangent Theta if sine Theta equals 4 over 9 Integration of Titer+I/square root of titer dx Sine Square Sawtooth or Triangle move water
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use