Mathematics Class 10
Introduction to Trigonometry
Name a triangle's sides, learn six ratios, build the special angles, and prove one identity.
14 lessons · ~105 min total
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Lessons in this topic
- 0 Start here A roadmap: naming the sides, the six ratios, the exact values, and one identity. · 4 min You are here
- 1 Naming the ratios Name the opposite, adjacent and hypotenuse, then find sin, cos and tan. · 8 min
- 2 The angle owns the ratios Right triangles with one angle share the same sin, cos and tan. · 9 min
- 3 The flipped ratios Cosec, sec and cot are sin, cos and tan turned upside down. · 7 min
- 4 The flat end and the upright end Find sin, cos and tan at 0° and 90°. See why tan 90° has no value. · 8 min
- 5 Forty-five degrees, folded from a square Fold a square on its diagonal. Read sin, cos and tan of 45°. · 8 min
- 6 Checkpoint: ratios, flips and one fold A graded check on naming, resizing, flipping and the 45° fold. · 6 min
- 7 Thirty and sixty, cut from an equilateral Cut an equilateral triangle in half. Read the values for 30° and 60°. · 9 min
- 8 Quotients of quotients Find tan A by dividing sin A by cos A. · 8 min
- 9 Squared, then added Square sin A and cos A. Add them. The sum is 1. · 9 min
- 10 Checkpoint: values, relations and the identity A check on the 30° and 60° build, tan, and the identity. · 6 min
- 11 What the identity settles Use sin²A + cos²A = 1 to find a missing ratio. Then get two more identities. · 8 min
- 12 The big picture The whole chapter on one screen. · 6 min
- 13 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 9 min
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