The value of  \( \cos1^0\cos2^0\cos3^0.......\cos177^0\cos178^0\cos179^0 \)

Find the value of following equation:

${\left(\sec \varnothing -\tan \varnothing \right)}^2{\left(1+\sin \varnothing \right)}^2÷{\sin }^2 \varnothing =?$

If $3\sin \theta =2{\cos }^2\theta , 0^0<\theta <{90}^0$. Then the value of $({\tan }^2\theta +se{c}^2\theta -\cos e{c}^2\theta )$ is: