[" 7."cot^(2)alpha(sec alpha-1)/(1+sin a...

[" 7."cot^(2)alpha(sec alpha-1)/(1+sin alpha)+sec^(2)alpha(sec alpha+1)/(cos alpha)],[" 8."(cos alpha cos beta+sin alpha sin beta)^(2)+(sin alpha cos beta-cos alpha sin beta)^(2)=1]

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det[[cos alpha cos beta,cos alpha sin beta,-sin alpha-sin beta,cos beta,0sin alpha cos beta,sin alpha sin beta,cos alpha]]