SOLUTION: If sin theata = a/b then find sec theata + tan theata

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Question 880875: If sin theata = a/b then find sec theata + tan theata
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28theta%29=a%2Fb
cos%5E2%28theta%29%2Bsin%5E2%28theta%29=1
cos%5E2%28theta%29%2Ba%5E2%2Fb%5E2=1
cos%5E2%28theta%29=1-a%5E2%2Fb%5E2
cos%5E2%28theta%29=%28b%5E2-a%5E2%29%2Fb%5E2
cos%28theta%29=0+%2B-+sqrt%28%28b%5E2-a%5E2%29%2Fb%5E2%29
So then,
sec%28theta%29=1%2Fcos%28theta%29=1%2F%280%2B-+sqrt%28%28b%5E2-a%5E2%29%2Fb%5E2%29%29
sec%28theta%29=1%2Fcos%28theta%29=0+%2B-+b%2F%28sqrt%28%28b%5E2-a%5E2%29%29%29
and
tan%28theta%29=sin%28theta%29%2Fcos%28theta%29
tan%28theta%29=%28a%2Fb%29%2F%280+%2B-+sqrt%28%28b%5E2-a%5E2%29%2Fb%5E2%29%29
tan%28theta%29=0+%2B-+a%2Fsqrt%28b%5E2-a%5E2%29%29