In Class 10 Trigonometry, memorizing the values of sine, cosine, and tangent for standard angles is mandatory. However, you don't need to memorize the values for cotangent (cot) if you know the basic formulas.
Due to the complementary angles theorem, the value of cot(30°) is exactly the same as the value of tan(60°), which is also √3.
The exact value of cot(30°) is √3 (Root 3).
(In decimal form, √3 is approximately 1.732).
The easiest way to find cotangent is to remember that cot(θ) is the mathematical reciprocal (inverse) of tan(θ).
Formula: cot(θ) = 1 / tan(θ)
If you only remember the sine and cosine tables, you can use the ratio formula:
Formula: cot(θ) = cos(θ) / sin(θ)
We know cot(90) = cos(90) / sin(90). Since cos(90) is 0 and sin(90) is 1, the answer is 0/1 = **0**.
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