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The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the ...
The 30-degree rule is a basic film editing guideline that states the camera should move at least 30 degrees relative to the subject between successive shots of the same subject. If the camera moves less than 30 degrees, the transition between shots can look like a jump cut—which could jar the audience and take them out of the story. The ...
Rule 30 has also been used as a random number generator in Mathematica, [3] and has also been proposed as a possible stream cipher for use in cryptography. [4] [5] Rule 30 is so named because 30 is the smallest Wolfram code which describes its rule set (as described below). The mirror image, complement, and mirror complement of Rule 30 have ...
The right-hand end of the ST or SRT scale cannot be accurate to three decimal places for both arcsine(0.1) = 5.74 degrees and arctangent(0.1) = 5.71 degrees, so sines and tangents of angles near 5 degrees are given with somewhat worse than the usual expected "slide-rule accuracy".
In the following definitions, the hypotenuse is the side opposite to the 90-degree angle in a right triangle; it is the longest side of the triangle and one of the two sides adjacent to angle A. The adjacent leg is the other side that is adjacent to angle A. The opposite side is the side that is opposite to angle A.
“The 30/30 rule can help curb impulse spending because it forces you to stop and think about whether you will get real use out of a purchase and if it’s worth the cost,” said Mark Henry, ...
The 30°–60°–90° triangle is the only right triangle whose angles are in an arithmetic progression. The proof of this fact is simple and follows on from the fact that if α , α + δ , α + 2 δ are the angles in the progression then the sum of the angles 3 α + 3 δ = 180°.