`(cosectheta+cottheta)^2=`

cosectheta=4/5 cottheta=?

Prove that : (i) (1)/(sectheta-tantheta)+(1)/(sectheta+tantheta)=2sectheta " " (ii) ("cosec "theta+cottheta)/("cosec "theta-cottheta)=("cosec "theta+cottheta)^(2)

If x=a(cosectheta+cottheta)and y=b(cottheta-cosectheta) , then

If (1)/(cosectheta+cottheta)-cosectheta-tantheta=3ksecthetacosectheta , then value of k.

Evaluate the following limits : lim_(theta to 0)((cosectheta-cottheta)/(theta))

If 2cos^(2)theta-5costheta+2=0,0^(@)ltthetalt90^(@) then the value of (1)/((cosectheta+cottheta)) is :

If cosectheta + cottheta=p , then prove that the cos theta=(p^2-1)/(p^2+1)

(i) (sec theta-cos theta)(cosectheta-"sin"theta)=(1)/("tan"theta+cottheta) (ii) ("sin"theta+sectheta)^(2)+(costheta+cosectheta)^(2)=(1+secthetacosectheta)^(2)

If roots of equation 3x^(2) + 5x + 1 = 0 are (sectheta_(1) - tentheta_(1)) and (cosectheta_(2)-cottheta_(2)), then find the equation whose roots are (sectheta_(1)+tantheta_(1) and (cosectheta_(2) + cottheta_(2)).

Find the value of (sectheta-costheta)^(2)+(cosectheta-sintheta)^(2)-(cottheta-tantheta)^(2) .