Right triangles & trigonometry
9 videos
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Trigonometry - Right Triangle Trigonometry: The Big Picture
Learn what trigonometric ratios are, how sine, cosine, and tangent relate triangle sides, and why SOH CAH TOA helps solve real-world measurement problems.
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Trigonometry - Why Trig Ratios Work: The Similarity Secret
Explains why trigonometric ratios are constant: similar triangles with the same angles always have equal side ratios, regardless of size, making sine, cosine, and tangent work.
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Trigonometry - SOH CAH TOA: Sine, Cosine, and Tangent Defined
Learn SOH CAH TOA: the three trigonometric ratios (sine, cosine, tangent) that relate angles to sides in right triangles and unlock real-world problem solving.
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Trigonometry - Finding a Missing Side with Trig
Learn how to find a missing side in a right triangle using trigonometry and the tangent ratio. Solve a real-world problem about finding building height.
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Trigonometry - Finding a Missing Angle with Inverse Trig
Learn how inverse trigonometric functions work backwards from ratios to find angles in right triangles. Example shows using inverse tangent to find a missing angle.
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Trigonometry - The Pythagorean Trig Identity: sin² + cos² = 1
Learn how the Pythagorean theorem transforms into the fundamental trig identity: sin²θ + cos²θ = 1, derived step-by-step from a right triangle.
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Trigonometry - Sine and Cosine of Complementary Angles
Learn why sine and cosine are the same ratio from different angles, and discover the complementary angle identity that connects these two trigonometric functions.
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Trigonometry - Right Triangle Trig Word Problem Walkthrough
Learn to find building height using trigonometry. Step-by-step guide using tangent ratio, angle of elevation, and the SOH CAH TOA method to solve real-world problems.
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Trigonometry - Reciprocal Trig Ratios: Cosecant, Secant, Cotangent
Learn about cosecant, secant, and cotangent as reciprocals of sine, cosine, and tangent. Understand how to flip trigonometric ratios in right triangles.