If `cos e ctheta-cottheta=q ,` then the value of `cos e ctheta` is (a)`q=1/q` (b) `q-1/q` `1/2(q+1/q)` (d0 none of these

If cos ec theta-cot theta=q, then the value of cos ec theta is (a)q=(1)/(q)(b)q-(1)/(q)(1)/(2)(q+(1)/(q)) (do none of these

If sintheta+costheta=pa n dsectheta+cos e ctheta=q , show that q(p^2-1)=2pdot

If p >1 and q >1 are such that log(p+q)=logp+logq , then the value of log(p-1)+log(q-1) is equal to (a) 0 (b) 1 (c) 2 (d) none of these

If p >1 and q >1 are such that log(p+q)=logp+logq , then the value of log(p-1)+log(q-1) is equal to (a) 0 (b) 1 (c) 2 (d) none of these

If p>1 and q>1 are such that log(p+q)=log p+log q ,then the value of log(p-1)+log(q-1) is equal to (a)0(b)1 (c) 2(d) none of these

If p >1 and q >1 are such that log(p+q)=logp+logq , then the value of log(p-1)+"log"(q-1) is equal to 0 (b) 1 (c) 2 (d) none of these

If pcos e ctheta+qcottheta=2 and p^2cos e c^2theta-q^2cot^2theta=5 then the value of sqrt(81 p^(-2)- q^(-2)) is________

Prove that: sqrt((1+costheta)/(1-costheta))=cos e ctheta+cottheta .

If pcos e ctheta+qcottheta=2 and p^2cos e c^2theta-q^2cot^2theta=5 then the value of sqrt(81 p^(-2)-q^(-2)) is________

If pcos e ctheta+qcottheta=2 and p^2cos e c^2theta-q^2cot^2theta=5 then the value of sqrt(81 p^(-2)-q^(-2)) is________