Solving Trig Functions!

Steps to solving trig functions:

~First you isolate the trig function.

~Second you take the inverse of the trig function

~Third you use the trig chart or a calculator to find the answer

~Fourth you use the quadrants to find the right angle

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~You must have at least two answers for each problem.

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Ex.1: 4siny+5=3

~First subtract 5 on each side: 4siny=-2

-Next divide each side by 4: siny=-2/4:-1/2

~The inverse will be y=sin^-1(-1/2)

~sin^-1(-1/2)=30

~Now you use the quadrants to find your answers.

-sin is negative in quadrants 3 and 4. 30+180=210; -30+360=330.

~Your two answers will be 210 and 330.

Ex.2: 3cos(theta)+3=8

~First subtract 3 on each side: 3cos(theta)=5

-Next divede each side by 3: cos(theta)=5/3

~The inverse will be (theta)=cos^-1(5/3)

~cos^-1(5/3)=undefined

~You cant use the quadrants to find your answers because your answers are undefined.