The value of   $${sin23^0cos67^0+sec52^0sin38^0+cos23^0sin67^0+cosec52^0cos38^0}\over cosec^220^0-tan^270^0$$ is

if $${secθ={a\over b},b≠0,then \ {{1-tan^2θ}\over 2-sin^2θ}  }=?$$

$$sinθ[(1-tanθ)tanθ+sec^2θ]\over (1-sinθ)tanθ(1+tanθ)(secθ+tanθ)$$ is equal to:

The value of $$\left({sin37^0cos53^0+cos37^0sin^0} \right)-\left({4cos^237^0-7+4cos^253^0\over tan^247^0+4-cosec^243^0} is \right)$$

The value of   $${cosθ+sin^6θ+3sin^2θ \ cos^2θ}\over cosecθsecθ(sinθ+cosθ-1)(sinθ+cosθ+1) $$

If sin 3A=cos(A+10⁰), where 3A is an acute angel, then what is the value of $$2cosec{3A\over2}+6sin^23A-{3\over 2}tan^2\ 3A$$?

if 3sin²θ – cosθ-1=0, 0⁰< θ<90⁰, then what is the value of cot θ + cosec θ?