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What is the exact value of tan pie over 2?

1


How can you prove that 1-2 cosine squared over sine times cosine is equal to tangent minus cotangent?

sin2 + cos2 = 1 So, (1 - 2*cos2)/(sin*cos) = (sin2 + cos2 - 2*cos2)/(sin*cos) = (sin2 - cos2)/(sin*cos) = sin2/(sin*cos) - cos2/(sin*cos) = sin/cos - cos-sin = tan - cot


What is the relation between definite integrals and areas?

Consider the integral of sin x over the interval from 0 to 2pi. In this interval the value of sin x rises from 0 to 1 then falls through 0 to -1 and then rises again to 0. In other words the part of the sin x function between 0 and pi is 'above' the axis and the part between pi and 2pi is 'below' the axis. The value of this integral is zero because although the areas enclosed by the parts of the function between 0 and pi and pi and 2pi are the same the integral of the latter part is negative. The point I am trying to make is that a definite integral gives the area between a function and the horizontal axis but areas below the axis are negative. The integral of sin x over the interval from 0 to pi is 2. The integral of six x over the interval from pi to 2pi is -2.


If x is obtuse and sin x equals b how do you show sin 2x is less than b?

you need to explain it better but with what i got i if sin x equals b obviously sin 2x is double of b hence sin 2x is more than b. {Not obvious at all, actually. And the above is false. Sin(Pi/2) = 1 and Sin(Pi)=0. But clearly 2 is not greater than 0. Contradiction.} Obtuse means Pi/2 < x < Pi So, sin(x) = b means b>0, because sin(y) > 0 if 0<y<Pi sin(2x)=2sin(x)cos(x) cos(x) < 0 because cos(Pi/2)= 0 and the derivative is negative there. Hence, sin(2x) = 2 sin(x) cos(x) = 2*b*(-K), where K is a positive constant Since b>0, -2Kb < b


What is equivalent to sin 2 csc 2 - sin 2?

sin2csc2-sin2 (using the fact that the sin is the reciprocal of csc) = 1-sin2

Related Questions

What is the sin of pie over 2?

1


What is the sin of 2 pie?

sin(2*pi) - not pie - is the same as sin(0) = 0


What is sin pie divided by six equals one half?

Sin(pi/6) = 1/2 is a true statement [not pie].


What is sin of 3 pi over 2?

Sin(3pi/2) = Sin(2pi - pi/2) Double angle Trig. Identity. Hence Sin(2pi)Cos(pi/2) - Cos(2pi) Sin(pi/2) Sin(2pi) = 0 Cos(pi/2) = 0 Cos(2pi) = 1 Sin(pi/2) = 1 Substituting 0 x 0 - 1 x 1 = 0 - 1 = -1 The answer!!!!!


What is the sin of 1305 degrees?

sin(1,305) = sin(225) = -0.70711 (rounded) = 1/2 of the negative square root of 2.


What does sin pie over three equal?

First of all it is NOT 'pie' . 'Pie' is the foodstuff that you eat e,g, apple pie, meat pie. The Mathemtical 'pi' is spelled as 'pi' and is from the Classical Greek alphabet, and represent the small /lower case letter 'p'. To answer your question. Set your calculator in RADIAN Mode. Sin(pi/3) sqrt(3) /2 = 0.8660254.... NB You will have an incorrect answer if your calculator is set in 'DEGREE' Mode.


What is sine of 3 pie divided by 4?

0.75


Name four negative numbers greater than negative pie?

-1,-√2,-2,-3. I think what he meant to say was negative integers. There is no answer in that case.


What is sin 210?

The sine of 210 degrees is equal to -1/2. This value can be derived from the unit circle, where 210 degrees is in the third quadrant, where sine values are negative. Specifically, sin(210°) corresponds to sin(210° - 180°) = sin(30°), and since sine is negative in the third quadrant, sin(210°) = -sin(30°) = -1/2.


What is 1 over 3 times negative 2 minus negative 2?

negative 2 over 6


Which is greater negative 2 over 3 or negative 2 over 8?

2 over 8


What is the value of sin 3 pi over 2?

sin(3π/2) = -1