18. More Solving Equations

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Presentation transcript:

18. More Solving Equations

Reciprocal functions When a reciprocal function (csc, sec, cot) is involved, solve as normal, then flip answer, then find on unit circle

Example Solve for

Example Solve for

Example Solve for

Example Solve for

Coefficient with angle When there is a coefficient in front of θ, solve the equation as normal, then as the last step, divide by the coefficient

Example Solve for

Example Solve for

Example Find all solutions (in degrees)

Example Find all solutions (in radians)

Trig Equations with trig identities

When solving a trig equation, you must have only one function Therefore if there is more than one trig function, then you have to use trig identities to change it so there is only one function

Solve the equation for 0 < x < 2p.

Solve the equation for 0 < x < 2p.

Solving Trigonometric Equations Solve: Replace sin2x with 1-cos2x Distribute Combine like terms. Multiply through by – 1. Factor. Set each factor equal to zero. Solve for cos x. Determine the solution(s).

Example Solve for

Solve