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2 Μαΐ 2021 · This table contains values for sine, cosine and tangent for angles between 0 and 90º. All values are rounded to four decimal places. Click the image for the full-sized image or download the PDF version. The downloadable trig table PDF is optimized to fit on a single 8½ x 11″ sheet of paper.
The sine, cosine and tangent ratios Trigonometry is the study of lengths and angles in triangles. This section looks at trigonometry in right-angled triangles. In a right-angled triangle the side opposite the right angle is the hypotenuse, which is the longest side. † AC is the hypotenuse † AB is adjacent to angle A (•) † BC is opposite •
a sin(a) cos(a) tan(a) a sin(a) cos(a) tan(a) 0 0.0000 1.0000 0.0000 45 0.7071 0.7071 1.0000 1 0.0175 0.9998 0.0175 46 0.7193 0.6947 1.0355 2 0.0349 0.9994 0.0349 47 0.7314 0.6820 1.0724 3 0.0523 0.9986 0.0524 48 0.7431 0.6691 1.1106 4 0.0698 0.9976 0.0699 49 0.7547 0.6561 1.1504 5 0.0872 0.9962 0.0875 50 0.7660 0.6428 1.1918
After reading this text, and/or viewing the video tutorial on this topic, you should be able to: •define the ratios sine, cosine and tangent with reference to projections. •use the trig ratios to solve problems involving triangles.
1 Sine and Cosine Rules In the triangle ABC, the side opposite angle A has length a, the side opposite angle B has length b and the side opposite angle C has length c. The sine rule states sin sin sinAB C ab c == Proof of Sine Rule If you construct the perpendicular from vertex A to meet side CB at N, then AN B (from ABN) = csin Δ = bsinC ...
Tables for sine, cosine and tangent between 0 and 90 degrees (to 3dp) Angle Sine Cosine Tangent Angle Sine Cosine Tangent Angle Sine Cosine Tangent 0 0.000 1.000 0.000 30 0.500 0.866 0.577 60 0.866 0.500 1.732 1 0.017 1.000 0.017 31 0.515 0.857 0.601 61 0.875 0.485 1.804 2 0.035 0.999 0.035 32 0.530 0.848 0.625 62 0.883 0.469 1.881
L7–1 Trigonometry – tangent, sine, cosine Question 1 For the given triangle: a) Determine tan X and tan Z. b) Calculate ∠X and ∠Z to the nearest tenth of a degree. Question 2 Calculate the tangent for 25o and for 73o. III. The sine and cosine ratios The sine and cosine ratios are very similar to the tangent ratio.
