For 0<θ<π / 2, if the eccentricity of the hyperbola x^2-y^2 cosec^2 θ=5 is √ 7 times eccentricity of the ellipse x^2 cosec^2 θ+y^2=5, then the value…

For $\displaystyle 0<\theta<\pi / 2$, if the eccentricity of the hyperbola $\displaystyle x^2-y^2 \operatorname{cosec}^2 \theta=5$ is $\displaystyle \sqrt{7}$ times eccentricity of the ellipse $\displaystyle x^2 \operatorname{cosec}^2 \theta+y^2=5$, then the value of $\displaystyle \theta$ is :