Evaluate: `("lim")_(nvec0)(cos^2(1-cos^2(1-cos^2(cos^2(theta)))))/(s in(pi(sqrt((theta+4)-2))/theta))`

Evaluate: ("lim")_(thetavec0)(cos^2(1-cos^2(1-cos^2(1-cos^2(theta)))))/ (sin(pi(sqrt((theta+4))-2)/theta))

Evaluate: lim_(thetato0)(cos^2(1-cos^2(1-cos^2(1-cos^2(theta)))))/(sin(pi(sqrt(theta+4)-2)/theta))

Evaluate: lim_(thetato0)(cos^2(1-cos^2(1-cos^2(1-cos^2(theta)))))/(sin(pi(sqrt(theta+4)-2)/theta))

Evaluate: lim_(n rarr0)(cos^(2)(1-cos^(2)(1-cos^(2)(...cos^(2)(theta))))...))/(sin(pi(sqrt((theta+4)-2))/(theta)))

If y=sqrt(((1+cos2theta)/(1-cos2theta))),(dy)/(d theta) at theta=(3pi)/(4) is

Solve: 5cos2 theta+2cos^(2)((theta)/(2))+1=0,-pi

If cos^(4)theta-sin^(4)theta=(2)/(13) , find cos^(2)theta-sin^(2)theta+1 .

Evaluate int _(0)^(pi//2) (cos^(4) theta)/(sin^(4) theta + cos^(4) theta)d theta

sqrt(4cos^(4)theta+sin^(2)2 theta)+4cos^(2)((pi)/(2)+(0)/(2))