If `sin alpha+ sin beta =2` then find the value of `cos^2alpha+cos^2 beta`

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If 2 sin^2 beta - cos^2 beta = 2 then find beta. If 2 sin^2 beta - cos^2 beta = 2 then find beta.
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If sin alpha + sin beta =a and cos alpha + cos beta = b, show that cos (alpha + beta)=b^2-a^2b^2+a^2 If sin alpha + sin beta =a and cos alpha + cos beta = b, show that cos (alpha + beta)=b^2-a^2b^2+a^2