Unit 4 - Right Triangle Trigonometry

The Beginnings of Trigonometry: Sine - Triangles just keep coming back! Find the patterns that can be found between the relationship of an angle and its neighboring sides, specifically its opposite and its hypotenuse here!


The Beginnings of Trigonometry: Cosine - Sine isn't the only relationship that can be found between an angle and its neighboring sides! Find the patterns that can be found between an angle's adjacent and its hypotenuse here!


The Beginnings of Trigonometry: Tangent - So far, we've assumed that each triangle has a hypotenuse! Find the patterns that can be found between an angle's opposite and its adjacent sides here!


Cosine & Sine: Complementary Angles - Now we've dealt with cosine and sine a lot this unit, but have you begun to notice they also share a relationship? The sine of the complement of cosine is the same! Find out how that works (and what that really means) here!


Cosine & Sine: Find the Missing Side - So, we have an angle, and a hypotenuse, but how can we find the adjacent/opposite side length? Or what if we have the angle, but we're missing the hypotenuse instead? Find out how to solve these problems here!


Tangent: Find the Missing Side - So, what if we only have an angle, and the opposite side, but we need to find the adjacent side length? Or what if we have the angle, but we're missing the opposite side instead? Find out how to solve these problems here!


Special Right Triangles: 45-45-90 Degrees - Now let's shift over to some special right triangles that we will come across. Why do we need to recognize these? Well, because once solved, they are really easy to work with! Way easier than using trigonometry to get their sides and angles. Find out how to use these triangles here!


Special Right Triangles: 30-60-90 Degrees - So we know all about 45-45-90 degree triangles, but are there more? Although a little more complicated, the 30-60-90 triangles have similar patterns that we can use to solve problems much easier! Find out how here!


Using the Inverse of Sine, Cosine, and Tangent - Now that you're a master of sine, cosine, and tangent, and how to recognize when to use them, the question becomes how do you find an angle if you have the opposite side and hypotenuse? What about having the adjacent side and the hypotenuse, or the opposite and adjacent sides? Find out how to use the inverse of the basic trig functions here!