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If you mean the actual calculation of the sine and cosine functions, this is so involved that you best leave it to a scientific calculator. In both cases, infinite series are used. The formula for the sine function is:
sin x = x - x3/3! + x5/5! - x7/7! ...
Similarly:
cos x = 1 - x2/2! + x4/4! - x6/6! ...
"x" must be in radians. The formulae converge rather quickly, at least for small values of "x", but you still need to do a lot of calculations.
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What are the units of sin cosine and tangent?
All three are ratios which do not have units.
What is the 3 equivalent ratios to compare to 3 and 4?
Just as in the case of a fraction, you can expand such a ratio by multiplying both numbers with the same non-zero number. It's easiest if you use integers for this.
What are the ratios of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
The longer leg is opposite the 60 deg angle. Suppose A = 60 deg, C = 90 deg and a and c are the corresponding sides. Then, by the sine rule a/c = sin(A)/sin(C) a/c = sin(60)/sin(90) = sqrt(3)/2
How do you solve trignometric identities?
tan(x) = sin(x)/cos(x) Therefore, all trigonometric ratios can be expressed in terms of sin and cos. So the identity can be rewritten in terms of sin and cos. Then there are only two "tools": sin^2(x) + cos^2(x) = 1 and sin(x) = cos(pi/2 - x) Suitable use of these will enable you to prove the identity.
What are the trignometric ratios?
There are three trigonometrical ratios for finding the angles and lengths of a right angled triangle and they are tangent, cosine and sine usually abbreviated to tan, cos and sin respectively. tan = opp/adj cos = adj/hyp sin = opp/hyp Note that: opp, adj and hyp are abbreviations for opposite, adjacent and hypotenuse sides of a right angled triangle respectively.
Is it a sin to fall in love with a cosin?
Not only is it a sin but it is also illegal, i strongly recomend that you do nat make any "moves" on your cousin. Perhaps therapy is in order.
How do you write ratios for sin and cosine?
sin = opp/hyp cos = adj/hyp tan = opp/adj
What the three main trigonometric ratios mean?
sin, cos and tan
What are the units of sin cosine and tangent?
All three are ratios which do not have units.
What is the sine ratios of 20 degrees angle?
sin(20) = 0.3420 (approx).
A jet takes off from an airport and rises at an angle of 29°. Which of these ratios is correct?
sin 29= height/ jet
How are ratios for sin and cosine alike?
sin(x) = cos(pi/2 - x). Thus sine is simply a horizontal translation of the cosine function. NB: angles are measured in radians.
How does one differentiate between the sine rule and the cosine rule?
The sine rule is a comparison of ratios: (sin A)/a = (sin B)/b = (sin C)/c. The cosine rule looks similar to the theorem of Pythagoras: c2 = a2 + b2 - 2ab cos C.
What is the defference between sign and sin?
The sign of a number tells you if it is greater than or less than zero.The sine (abbrev. sin) of an angle relates the ratios of the lengths of the side opposite that angle and the hypotenuse in a right triangle.
What is the 3 equivalent ratios to compare to 3 and 4?
Just as in the case of a fraction, you can expand such a ratio by multiplying both numbers with the same non-zero number. It's easiest if you use integers for this.
What are the ratios of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
The longer leg is opposite the 60 deg angle. Suppose A = 60 deg, C = 90 deg and a and c are the corresponding sides. Then, by the sine rule a/c = sin(A)/sin(C) a/c = sin(60)/sin(90) = sqrt(3)/2
How do you solve trignometric identities?
tan(x) = sin(x)/cos(x) Therefore, all trigonometric ratios can be expressed in terms of sin and cos. So the identity can be rewritten in terms of sin and cos. Then there are only two "tools": sin^2(x) + cos^2(x) = 1 and sin(x) = cos(pi/2 - x) Suitable use of these will enable you to prove the identity.
