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Showing posts from January, 2014

Maths: Finding the Value of sin18°∙sin54° without Calculator

Let's find the value of sin 18°∙sin 54° without a calculator. Well, assuming the calculator has the "sin" button on it. That type of calculator. Scientific calculator. Hang on. 🤔 Indeed! "Calculator", BY DEFAULT, has no sin / cos / tan button on it! That's specifically a scientific calculator. "Calculator" (default): + − × ÷ ‼️ As such: I can solve sin18°∙sin54° WITH a calculator! HAHAHA. (Looks at the calculator.) Where's the SIN BUTTON?! Oh, well. Too late. So instead, we use a laptop. Jest! Before we start, here's the reference. The double-angle formula for sine function is: sin 2α = 2∙sin α∙cos α The co-function (0° ≤ α ≤ 90°) is: sin α = cos (90° - α) Or: cos α = sin (90° - α) Sum of Angles This is a brain teaser for sum of angles in the trigonome...
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