MAT129 Fall 2025 Notes
mathnstuff.com/math/precalc/MAT129fa25/p.20.htm
© 2025   A2, Agnes Azzolino
Solving Trigonometric Equations, Text 9.5, PG. 739

Welcome to Precalc !
Solving Right Triangles
Hi,
    To solve a triangle means to figure out the measure of all 3 sides and all 3 angles. At this point in time you are only able to solve right triangles. More to come in future classes.
 
    Contact me through the pink box on www.mathnstuff.com/math/math.htm
or the phone number on your CANVAS class home page.
    Stay safe, A2
9.5 - pg 739, Learning Objectives
* Solve linear trigonometric equations in sine and cosine.
* Solve equations involving a single trigonometric function.
* Solve trigonometric equations using a calculator.
Summary Sheet 3 - Solve an Equation on TI83 w/Solver
Summary Sheet 7: Solve an Equation on TI84 w/Solver
* Solve trigonometric equations that are quadratic in form.
* Solve trigonometric equations using fundamental identities.
* Solve trigonometric equations with multiple angles.
* Solve right triangle problems. 
  There are many possible outcomes when one solves an equation.
	ONE SOLUTION - the statement is true only once,
		for example, x + 2 = -x + 3
 	MORE THAN ONE SOLUTION - the statement is sometimes true,
		for example, |x-2| = 1
 	EVERY NUMBER IS A SOLUTION - the statement is always true,
		for example, x + 5 = 5 + x
 	THERE IS NO SOLUTION - the statement is false,
		for example, 7 + x = x + 5
	from:

	Solving Equations Graphically
solvtrg.xls
Use Pythagorean Theorem, arithmetic, and basic trig with angles in degrees.
A right angle is required.
  Input leg a and leg b then press each button to compute A, B, and c to 3 decimal places.
is °
a is  
is ° b is  
C is 90° is
  Input hypotenuse c and leg a then
press each button to compute A, B,
and b to 3 decimal places.
is °
 a is
is ° is
C is 90° c is
  Input angle A and leg a then press each button to compute B, b and c to 3 decimal places.
A is ° a is
is ° done is done
C is 90° is done