SOLUTION: Simplify secθ−sinθtanθ

Question 1202659: Simplify
secθ−sinθtanθ
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
expression is sec(theta) - sin(theta)*tan(theta)
sec(theta) is equal to 1/cos(theta)
tan(theta) is equal to sin(theta) / cos(theta)
expression becomes 1/cos(theta) - sin^2(theta)/cos(theta)
simplify to get (1 - sin^2(theta) / cos(theta)
1 - sin^2(theta is equal to cos^2(theta)
expression becomes cos^2(theta) / cos(theta) which is equal to cos(theta).
original expression is sec(theta) - sin(theta)*tan(theta)
simplified expression is cos(theta)
confirm by using your calculator and assigning an angle randomly between 0 and 360.
i chose 235 degrees.
original expression becomes sec(235) - sin(235)*tan(235) = -.5735764364.
simplified expression becomes cos(235) = .5735764364.
they're the same value, confirming the simplification was successful.

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