Unit S Assessment 4

This problem is about trigonometric equations that we have to solve using the half angle formulas we learned earlier in this unit. By substituting in a trigonometric half-angle formula for a certain expression, we can then use algebra, the unit circle, and the trig identities to simplify the new equation.

Pay special attention to the caution I practiced when I started a new step for every thing I did. I did this so that it would be less likely for me to make a mistake.

Unit S Assessment 2

Although the final answers from the half angle expressions are different than their difference formula counterparts, they are the same value. If you plug in the trig functions in a calculator for 75 degrees, you will get about .966 for sine, about .259 for cosine, and about 3.732 for tangent. When I plug in the expressions carefully and correctly, I get the exact same answers. If you check and get different answers, are you sure your calculator is in degrees and not in radians?

Unit S Assessment 3

This problem is about simplifying trigonometric expressions using power-reducing formulas. For the problem I simplified above, I had to use the sine and cosine power reducing formulas because tangent was irrelevant. 

Pay special attention to the formulas and the way I kept simplifying them. If the formula is off or if you make a mistake simplifying then your final answer can be wrong.

Unit R Concept 3 - Student Problem

This problem is about finding the trig function of an inverse trig function. The "type 2" problem I made and solved above comprises of using Unit Circle values to easily find the trig function values inside the parenthesis.

Pay close attention to the fact that I used the 1st quadrant angle for sin v = 0 instead of the 2nd quadrant angle. If I chose the second one then the answer will be different but it would not be necessarily wrong.

Unit R Concept 2 - Student Problem

This problem is about using the sum and difference formulas. Only this time it is when values are given for a right triangle.

Pay close attention to the way I drew the triangles with the knowledge of which quadrants they were in. The way you draw the triangles is crucial to finding the desired and unknown trig functions.

Unit R Concept 1 - Student Problem

This problem is about using the sum and difference formulas of the 3 main trig functions. These formulas help us find the exact values of angles that are not apart of the magic five reference angles (0,30,45,60,90) by adding or subtracting two of the angles given in the unit circle to get the desired angle. 

Pay close attention to the order of the variables and how I first found the exact values of cos,sin, and tan of the two angles. The order of the variables is crucial for one to obtain the correct answer when using certain formulas. The finding of the exact values helped me accelerate my finding of the exact values of the trig functions of the desired angle. 

Unit Q Blog Post III