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If cos^(2) theta=(a^(2)-1)/(3) and "tan"...

If `cos^(2) theta=(a^(2)-1)/(3) and "tan"^(2) (theta)/(2)= tan^((2)/(3))alpha` prove that `cos ((2)/(3)) alpha+ sin ^((2)/(3)) alpha=((2)/(a))^((2)/(2))`

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