What does sine and cosine mean as well?
200117
sine: In a right triangle, the ratio of the length of the side opposite an acute angle to the length of the hypotenuse.\ncosine: In a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse.
425444
no! S=sin(14)\njust look S=[sin(14)-sin(14/2)]+[sin(14/2)-sin(14/3)]+\n+[sin(14/3-sin(14/4)]+.... & so on!
300172
I wanted to give a partial answer that wasn't presented elsewhere:\n\ne.g. Sine 10 deg =0.174, while cosine 80 deg= 0.174. how ironic is that?!!\n\nIt's not ironic at all.  If you have a right triangle, you know one angle is 90°, and the sum of all angles must be 180°, so the other two angles must add to 90.  You give sin 10°, so the other angle must be 80°.\nThe sin of any angle must be equal to the cos of its complementary angle (x and 90°-x are complementary), because of the definitions.  The side opposite the x angle is adjacent to the the 90°-x angle.\nThus sin 10° = cos 80°.
114319
Yes, it can be rewritten as 2sin2xcos2x.  Or, you can use the addition formula for sineto prove this.  sin(x + y) = sinxcosy + cosxsiny.  In your case, sin(2x + 2x) = sin2xcos2x + cos2xsin2x = 2sin2xcos2x.
19135
NO WAY Why?\n\nF(t) = A Sin(wt)\n\nA called the magnitude : how high the sine function reach\nif A =1 the sine is between 1 and -1\nif A =5 the sine is between 5 and -5\n\nW = 2*pi*f where f is the frequency : how many period during 1 sec\nif w=1 f=1/(2pi) this means at t=2pi we will have one period\nsin(2pi)=sin(0), one period for each 2pi\nif w=2 >>> one period ecah pi\n\n\nSO when the function is expressed by the sum of many sines, many differents frequancies, impossible to regroup them in one frequency\n\nTHe basic frequency called fimdemental and the other frequencies called harmonics (mulpitles of fundemental)\n\nFourrier Series gives the magnitude of all harmonice of unregular from, BUT IT IS NOT POSSIBLE TO JOINT MORE THAN ONE FREQUENCY IN ONE TERM\n\nlike 3x^2+4x^5 since the powers are differents we can't sum or add them in one term
115364
So you know the ones for sin(2a) and cos(2a). Cool.\n\nNow, tan(2a) is the same as sin(2a)/cos(2a), since tan = sin/cos (definition of tangent).\n\nSub in the formulae for sin(2a) and cos(2a) :\n\n2sin(a)cos(a)\n----------------\ncos(a)^2-sin(a)^2\n\nDivide both numerator and denominator by (cos(a))^2\n\n2tan(a)\n----------\n1-tan(a)^2
439947
just put in the exact values for the unit circle sin(30) is 1/2, cos(30) is square root 3/2, cot(30) is cos(30)/sin(30) and csc(30) is 2.
460425
OK, domain is infinity, since it can go on forever.\n- Period is 2pi/3, since the period of sine is 2pi or 360 degrees and the p value is 3. This is a horizontal compression by a factor of 3\n- Horizontal shift: To the right by pi (180 degrees)\n- Vertical shift: None\n- Amplitude: 4
377545
From the law of cosines,\nL^2 = R^2 + R^2 -2RRcos(π/3)\nL^2 = 2R^2 -2R^2cos(π/3)\nL^2 = 2R^2 + R^2 = 3R^2\nL = R√3
471128
In a right triangle every angle has a sine, it is the ratio of the side opposite the angle in question and the hypotenuse (the long side). A sine wave is just a name for a graph or chart of this value. If you take the sine of every angle from 1 through 360 degrees and plot them on a piece of graph paper you would get a circle, if you shift right one space for each value you will draw a sine wave. 60 cycle AC electric power is often referred to as being a Sine Wave because plotting the voltage of one complete cycle will produce the same graph.
131199
Take the difference between the x values.\nThe period is the horizontal stretch, which is also called the wavelength.  They're all one and the same, from one crest of a wave (or any other part) to the next.\nI'm talking about sine and cosine waves here.
417403
The definition says that : sin(angle) = opposite / hypotenuse.\nTherefore, sin(A) = a / 136, so, a = 136 * sin(44º) = 94.5 inches.\nAnd, sin(B) = b / 136, so, b = 136 * sin(46º) = 97.8 inches.
442677
I'll give you a hint and let you try to figure out the rest yourself (unless someone else tells you the exact answer). =)\n\nUse your trig identities:\n\ntan A = sinA/cosA\n\ncot A = 1/tanA or cot A = cosA/sinA
515082
sin(A+B)sin(A-B)/(cos²Acos²B)\n= (sinAcosB + cosAsinB)(sinAcosB - cosAsinB)/(cos²Acos²B)\n= (sin²Acos²B - cos²Asin²B)/(cos²Acos²B) (since (x + y)(x - y) = x² - y²)\n= sin²A/cos²A - sin²B/cos²B\n= tan²A - tan²B ← Option c)\n\nPlease note: sin(A + B) = sinAcosB + cosAsinB\nand sin(A - B) = sinAcosB - cosAsinB
126556
go to this site:\nhttp://en.wikipedia.org/wiki/Sine_wave
317688
Adjacent means  "next to"\n\nIn trigonometry (which you are calling maths), the term is used with respect to angles. When you consider the right angle in your figure above, "a" and "b" are the adjacent sides of the right angle (the 90 degree angle) and the side "c" is the hypotenuse and also the "opposite" side.
510098
sin(θ) ≈ θ\nSo cos (θ) ≈ 1  because cos (0) = 1\nMore accurately cos (θ) ≈ 1 - θ²/2