#Right Triangle Trigonometry: Your Ultimate Study Guide 📐

Hey there! Let's get you prepped for the AP SAT (Digital) with a deep dive into right triangle trig. This guide is designed to be your go-to resource, especially the night before the exam. We'll make sure everything clicks, so you can walk in feeling confident and ready to ace it!

#Foundations of Right Triangle Trig

Right triangle trigonometry is all about the relationships between angles and sides. It's a core concept, so let's break it down and make sure you've got it down pat.

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• SOH: Sine = Opposite / Hypotenuse
• CAH: Cosine = Adjacent / Hypotenuse
• TOA: Tangent = Opposite / Adjacent

#Reciprocal Trig Functions

• Cosecant: $$\csc \theta = \frac{1}{\sin \theta}$$, the reciprocal of sine
• Secant: $$\sec \theta = \frac{1}{\cos \theta}$$, the reciprocal of cosine
• Cotangent: $$\cot \theta = \frac{1}{\tan \theta}$$, the reciprocal of tangent

#Pythagorean Theorem

• The theorem: $$a^2 + b^2 = c^2$$, where 'a' and 'b' are the legs, and 'c' is the hypotenuse.

#Angle Relationships

• Right triangles always have one 90° angle.
• The sum of all angles in any triangle is always 180°.

#Trigonometric Ratios in Action

Now, let's see how to use these ratios to solve problems.

#Solving for Missing Side Lengths

• Sine: Use when you have th...