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Mathematics

Values of trigonometric ratios for specific angles: 30°45°and 60°

In Class 10 Mathematics, this topic from Introduction to Trigonometry helps students find and use the standard values of trigonometric ratios for 30°, 45°, and 60°. Students understand how these values are derived from special right-angled triangles, then apply them to calculate sine, cosine, tangent, and, where relevant, their reciprocal ratios—cosecant, secant, and cotangent. The topic also builds accuracy in evaluating expressions and solving basic problems involving these angles.

Topic overview

Concept revision

If cot θ = 1 and θ is acute, then what is θ?

\(\cot \theta=\frac{\text{base}}{\text{perpendicular}}\). At \(45°\), the base and perpendicular are equal, so \(\cot 45°=1\).

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