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  • John Rhodes
  • June 21, 2023
  • Calculus

Differentiability in Mathematics: The Definition, Implications, and Key Concepts

Differentiability implies ___________________ continuity Differentiability implies the existence of a derivative of a function at a particular point. It means that the function has a well-defined tangent...
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  • John Rhodes
  • June 21, 2023
  • Trigonometry

Learn how to calculate the sine of 45° using right-angled triangle – Step by step guide

sin 45° √2/ 2 The value of sine 45° is 0.70710678118. To understand how to calculate the sine of an angle, we need to consider the right-angled...
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  • John Rhodes
  • June 21, 2023
  • Trigonometry

How to Find the Exact Value of sin 60°: Trigonometry with Equilateral Triangles

sin 60° √3/ 2 The exact value of sin 60° is (√3) / 2. To understand how to find this value, consider an equilateral triangle where all...
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  • John Rhodes
  • June 21, 2023
  • Trigonometry

How to Find the Value of cos 30° Using the Unit Circle in Trigonometry

cos 30° √3/ 2 cos 30° is equal to √3/2, which is approximately 0.866. To understand how to find the value of cos 30°, we need to...
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  • John Rhodes
  • June 21, 2023
  • Trigonometry

Cosine: How cos 45° is equal to √2 / 2 in a right-angled triangle?

cos 45° √2/ 2 cos 45° is equal to √2 / 2. To explain this further, we first need to understand what cosine means. In a right-angled...
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  • John Rhodes
  • June 21, 2023
  • Trigonometry

How to Simplify and Evaluate tan 30° in Fraction and Decimal Forms

tan 30° √3/ 3 tan 30° can be expressed in different forms, such as as a fraction or decimal. In fraction form, we can use trigonometric identities...
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  • John Rhodes
  • June 21, 2023
  • Trigonometry

Discovering the Value of Tangent 45 Degrees: Mathematical Formula and Proof

tan 45° 1 The value of tangent of 45 degrees is equal to 1. We can also show this mathematically using the following formula: tan θ =...
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  • John Rhodes
  • June 21, 2023
  • Trigonometry

Learn the Value of tan 60° – Simplify Your Math Calculations with √3.

tan 60° √3 The value of tan 60° is (√3)/1 or simply √3. Explanation: The tangent function is defined as the ratio of the opposite side to...
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