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Hey there! So, you’re looking for the answer to the question: “What is sin 60 equal to cos?” Well, you’ve come to the right place! The answer is simple: sin 60 = cos 30. That’s right - it’s that easy! Now, if you want a bit more of an explanation, here goes. Sin 60 is equal to cos 30 because of the trigonometric identity known as “the double angle formula.” This formula states that sin 2A = 2sinAcosA. So, when A = 30 degrees (which is what we have in this case), then sin 2A = 2sin30cos30 which simplifies to sin60=cos30. Whoa - mind blown!
Why Is Sin 60 Equal To Cos 30? [Solved]
Well, it’s pretty simple: if you’ve got a 30°-60°-90° triangle, the sides are in a 1 : √3 : 2 ratio. That means sin 30° = cos 60° = 1/2, and sin 60° = cos 30° = √3 / 2. Easy peasy!
Sine of 60 degrees: The sine of 60 degrees is equal to 0.8660254037844386, which is also the cosine of 30 degrees.
Cosine of 30 degrees: The cosine of 30 degrees is equal to 0.8660254037844386, which is also the sine of 60 degrees.
Trigonometric Ratios: Both the sine and cosine values are part of a set of trigonometric ratios that can be used to calculate angles and lengths in triangles and other shapes in geometry and trigonometry problems.
Right Triangle Relationship: This relationship between the sine and cosines values can be seen when looking at a right triangle with an angle measuring 60°, where one side has length 1 (the hypotenuse) and the other two sides have lengths 0.5 (the adjacent side) and 0.866 (the opposite side).
Well, sin 60° is equal to cos 30° - it’s a mathematical fact! You can’t argue with that. It’s like the old saying goes: “What goes up must come down.” That’s why the sine of 60° is equal to the cosine of 30°. Ain’t math grand?
