Find `(dr)/(d theta)` of function `r=(12)/(theta)-(4)/(theta^(3))+(1)/(theta^(4))`

Solve (dr)/(d theta)= cos theta .

Find the derivatives of the functions r=(cos es theta+cot theta)^(-1)

A function f(theta) is defined as : f(theta) = 1 - theta+(theta^2)/(2!) - (theta^3)/(3!) +(theta^4)/(4!)…. why is it necessary for theta to be a dimensionless quantity ?

Find :int(cos theta)/((4+sin^(2)theta)(5-4cos^(2)theta))d theta

If sin theta+sin^(2)theta=1 find the value of cos^(12)theta+3cos^(10)theta+3cos^(8)theta+cos^(6)theta+2cos^(4)theta+2cos^(2)theta-2

A function f(theta)=sin^(2)theta+3sin theta cos theta+5cos^(2)theta is defined AA theta in R . Another function g(theta)=f((pi)/(2)-theta) at the point theta where f(theta) is minimum, then thevalue of (1)/(g(theta)) is

sin theta cos ^ (3) theta-cos theta sin ^ (3) theta = (1) / (4) sin4 theta

If theta _(1), theta _(2), theta _(3) and theta_(4) be the ecentric angles of point where a circle cuts an ellipes such that pi lt theta _(1) + theta _(2) + theta_(3)+ theta_(4) lt 5pi, then cos (theta _(1) + theta _(2)+theta _(3) +theta_(4)) equals to "______"

f theta_(1),theta_(2),theta_(3),theta_(4),theta_(5)in(0,(pi)/(2)), satisfying tan theta_(1)tan theta_(2)tan theta_(3)tan theta_(4)tan theta_(5)=1 then maximum_(2 value of )theta_(3)tan theta_(4)cos theta_(5) is cos theta_(1)cos theta_(2)cos theta_(3)cos theta_(4)cos theta_(5) is

int(2sin theta cos theta)/(sin^(4)theta+cos^(4)theta)d theta