`lim_(theta->pi/6)(4cos^2theta-3)/(2sintheta-1)`

(lim)_(theta->pi//2)(1-sintheta)/((pi//2-theta)costheta) is equal to a. 1 b. -1 c. -1/2 d. 1/2

lim_(theta rarr pi)((sqrt(2)-cos theta-sin theta)/((4 theta-pi)^(2))

Prove that lim_(theta rarr(pi)/(2))(2cos theta)/(pi-2 theta)=1

Evaluate the following limits : Lim_(theta to pi/2 ) ((2theta-pi)/cos theta )

Evaluate the following limit : Lim_(theta to pi/4) (sin theta -cos theta)/(theta-1/4pi)

|(sin theta, cos theta, sin2theta),(sin(theta+(2pi)/(3)),cos(theta+(2pi)/(3)),sin(2theta+(4pi)/(3))),(sin(theta-(2pi)/(3)),cos(theta-(2pi)/(3)),sin(2theta-(4pi)/(3)))|=

The value of the determinant |[sintheta, costheta, sin2theta] , [sin(theta+(2pi)/3), cos(theta+(2pi)/3), sin(2theta+(4pi)/3)] , [sin(theta-(2pi)/3), cos(theta-(2pi)/3), sin(2theta-(4pi)/3)|

The value of the determinant |(sintheta, costheta, sin2theta) , (sin(theta+(2pi)/3), cos(theta+(2pi)/3), sin(2theta+(4pi)/3)) , (sin(theta-(2pi)/3), cos(theta-(2pi)/3), sin(2theta-(4pi)/3))|

Evaluate the following limits : Lim_(theta to pi/2) (1-sin theta)/((pi/2-theta)cos theta)