The larger of `cos(lntheta)` and `ln(costheta)` if `e^(-pi/2) < theta < pi/ 2` is

Find the range of f(theta)=5costheta+3cos(theta+pi/3)+3

Solve tan(pi/2costheta)=cot(pi/2sintheta)

Find the range of f(x)=cos((log)_e{x})dot

Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

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)|

If costheta-sintheta=1/5, where 0

Which of the following is/are correct ? (a) (tanx)^(ln (cosx))lt(cotx)^(ln(cosx))AAx in(pi/4,pi/2) (b) (sinx)^(ln (secx))gt(cosx)^(ln(cosx))AA x in(0,pi/4) (c ) (sec. pi/3)^(ln (tanx))gt(sec. pi/3)^(ln(cosx))AA x in (pi/4,pi/2) (d) (1/2)^(ln(sinx))gt(3/4)^(ln(sinx))AA x in(0,pi/2)

Prove that (1+costheta+isintheta)^(n)+(1+costheta-isintheta)^(n)=2^(n+1)cos^(n)((theta)/(2))cos((ntheta)/(2))

98. The value of x satisfying the equation ((sqrtpi)^(log_pi(x))).((sqrtpi)^(log_(pi^2)(x))).((sqrtpi).^(log_(pi^4)(x))).((sqrtpi)^(log_(pi^8)(x)))...oo=3 is equal to

If (costheta+cos2theta)^3=cos^3theta+cos^3 2theta, then the least positive value of theta is equal to pi/6 (b) pi/4 (c) pi/3 (d) pi/2