Trigonometric Equation on an Interval
In this tutorial the students will learn how to solve a trigonometric equation on an interval. The student should be familiar with interval notation, the unit circle, trigonometric ratios, properties of Algebra and basic Algebra operations used to solve equations.
[ and ] are inclusive ( and ) are exclusive
The x coordinate corresponds to cosine. The y coordinate corresponds to sine. (x,y) ==> (cos θ,sin θ) 0 radians at (1,0): cos(0) = 1, sin(0) = 0 π/2 radians at (0,1): cos(π/2) = 0, sin(π/2) = 1 π radians at (-1,0): cos(π) = -1, sin(π) = 0 3π/2 radians at (o,-1): cos(3π/2) = 0, sin(3π/2) = -1 2π radians at (1,0): cos(2π) = 1, sin(2π) = 0
sin(θ) = y/r cos(θ) = x/r tan(θ) = y/x tan(θ) = sin(θ)/cos(θ) = y/x
Zero Product Property which basically states that if any of the factors are zero then the product is zero.
When terms move across the equal sign then the sign of the term changes to its opposite.