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1-Sin²(theta)=_
Cos²(theta)
1-Cos²(theta)=_
Sin²(theta)
1=_+_
Sin²(theta)+cos²(theta)
Tan²(theta)+1=_
Sec²(theta)
Sec²(theta)-1=_
Tan²(theta)
How to get from 1=sin²(theta)+cos²(theta) to sec²(theta)=tan²(theta)+1
Divide terms by cos²(theta)
Csc²(theta)=1+_
Cot²(theta)
1+cot²(theta)=_
Csc²(theta)
How to get from 1=sin²(theta)+cos²(theta) to csc²(theta)=1+cot²(theta)
Divide all terms by sin²(theta)