If 0 < theta, phi < pi/2 and x = sum(n=0...

If `0 < theta, phi < pi/2` and `x = sum_(n=0)^oo sin^(2n) theta, y = sum_(n=0)^oo cos^(2n) phi` and `z = sum_(n=0)^oo cos^(n)(theta+phi) cos^n (theta - phi),` then

`xyz +1 = yz -zx`

`xyz-1=yz +zx`

`xyz-xy =yz -zx`

`xyz +1 =yz+zx`

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