module 2 tutorial
1. Basic trignometric identities
Basic Trigonometric Identities
🔹 What are Trigonometric Identities?
Trigonometric identities are formulas that are always true for any valid angle.
They help in:
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Simplifying expressions
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Solving problems easily
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Connecting different ratios
🔹 Basic Trigonometric Identities
1️⃣ Pythagorean Identity
sin²θ + cos²θ = 1
This identity comes from the right-angled triangle and is very important.
2️⃣ Tangent Identity
tan θ = sin θ / cos θ
This shows how tangent is related to sine and cosine.
3️⃣ Reciprocal Identity (Sine)
sin θ = 1 / cosec θ
4️⃣ Reciprocal Identity (Cosine)
cos θ = 1 / sec θ
5️⃣ Reciprocal Identity (Tangent)
tan θ = 1 / cot θ
🔹 Easy Tip to Remember
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sin ↔ cosec
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cos ↔ sec
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tan ↔ cot
They are reciprocals of each other.
✅ Lesson 2 Key Takeaway
✔ Identities are always true
✔ They connect different trigonometric ratios
✔ Useful for solving and simplifying problems