*Let’s start out with solving fairly simple Trig Equations and getting the solutions from \(\left[ 0,2\pi \right)\), or \(\left[ \right)\).*Here is the Unit Circle again so we can “pick off” the answers from it: Notice how sometimes we have to divide up the equation into two separate equations, like when the argument of the trig function is an expression, like \(\displaystyle \theta \frac\).As another example, for \(\cos \left( \frac \right)\), we’ll only get one solution instead of the normal two.

Solving trig equations is just finding the solutions of equations like we did with linear, quadratic, and radical equations, but using trig functions instead.

In doing this, we are probably “throwing away” valid solutions to the equation.

Here are some examples, both solving on the interval and over the reals; note one of the problems is using degrees instead of radians.

If we want \(\displaystyle \left( \right)\) for example, like in the The Inverse Trigonometric Functions section, we only pick the answers from Quadrants I and IV, so we get \(\displaystyle \frac\) only.

But if we are solving \(\displaystyle \sin \left( x \right)=\frac\) we get \(\displaystyle \frac\) and \(\displaystyle \frac\) in the interval \(\); there are no domain restrictions.

## Comments Solving Trigonometry Problems

## SOLVING TRIGONOMETRIC EQUATIONS - S. O. S. Math

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## Solving 3D Problems using Trigonometry - Mr-

Solving 3D Problems using Trigonometry March 4, 2019. When teaching solving 3D problems using trigonometry we begin the lesson with a recap of Pythagoras ’ Theorem and the three trigonometric ratios. We do this by matching the ratio and equations to the respective right-angled triangle.…

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## Solving right triangles. Topics in trigonometry.

SOLVING RIGHT TRIANGLES. This is a topic in traditional trigonometry. It does not come up in calculus. To SOLVE A TRIANGLE means to know all three sides and all three angles. When we know the ratios of the sides, we use the method of similar figures. That is the method to use when solving an isosceles right triangle or a 30°-60°-90° triangle.…

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## Self-Paced Study Guide in Trigonometry

Problems and self-evaluations are catego-rized using this numbering system. When using the Self-Paced Review, it is important to differentiate be-tween concept learning and problem solving. The review modules are oriented toward refreshing concept understanding while the problems and self-tests are designed to develop problem solving ability. When…

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The thing about math is you need to understand the concepts or else it will be tough to get good grades. H2 We Can Do Your Trigonometry Homework – We Solve Trigonometry Problems with Solutions Trigonometry studies the relationship involving lengths and angles of triangles. When you look at it this way, it sounds like a simple math topic.…

## How to Solve Trigonometric Equations 8 Steps with Pictures

Solving basic trig equations proceeds by studying the various positions of the arc x on the trig circle, and by using trig conversion table or calculator. To fully know how to solve these basic trig equations, and similar, see book titled "Trigonometry Solving trig equations and inequalities" Amazon E-book 2010. Example 1. Solve sin x = 0.…

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Solving Trigonometric Equations – General Solutions. Since trig functions go on and on in both directions of the \x\-axis, we’ll also have to know how to solve trig equations over the set of real numbers; this is called finding the general solutions for these equations.…

## Applications of Right Triangles and Trig Functions

Trigonometry Word Problems Solutions 1 One diagonal of a rhombus makes an angle of 29 with a side ofthe rhombus. If each side of the rhombus has a length of 7.2", find the lengths of the diagonals. Draw a sketch 7.2" Label the rest 7.2" Solve 7.2" Since it is a rhombus, we know all the sides are 7.2". The opposite angles are congruent…