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In trigonometry, the sine function represents the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. In quadrants 1 and 2, the angle is measured from the positive x-axis in a counterclockwise direction. Since the opposite side is positive in these quadrants and the hypotenuse is always positive, the sine function is positive. This is because the sine function is defined as positive when the opposite side is positive relative to the hypotenuse.
Sine is = to opposite side/hypotenuse,
using a triangle with sides of opposite ~ 1, adjacent ~ 1 and hypotenuse ~ root(2),
hypotenuse is always positive,
hypotenuse = root(adjacent.squared * opposite.squared)
if either is negative, squaring them brings it back to a positive
and as the opposite side is the rise from the base line ( 0 degrees through to 180 degrees) it is positive in both quadrants 1 and 2
in quadrant 1, sine= 1/root(2) which is positive
in quadrant 2, sine= 1/root(2) which is positive
in quadrant 3, sine= -1/root(2) which is negative
in quadrant 4, sine= -1/root(2) which is negative
so sine is positive in quadrants 1 and 2 and is negative in 3 and 4
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How do you solve 2 sin squared theta equals 1?
first divide each side by 2 so you get... sine^2(X)=1/2 Then make sine ^2(X)=sine(x^2) SO you get... sine(X^2)=1/2 Then take the sine^-1 of each side it will look like this X^2=sine^-1(1/2) type the right side into a calc which will give you a gross decimal but it works (0.5235987756) so now you have X^2=0.5235987756 then take the square root of each side to make it linear and you will get X=.7236012546 and that is your answer!!!! make sure to check it on your calculator...I did and it worked * * * * * Not quite correct, I fear. Try this: Let s = sin θ. Then, 2s2 = 1; s2 = ½; and s = ±½√2. Therefore, θ = 45°, 135°, 225°, or 315°; or, if you prefer, θ = ¼π, ¾π, 1¼π, or 1¾π.
What is the sine of 30 degrees?
sin(30) = 0.5
What are characteristics of the graph of the absolute value parent function in geometry?
It is in quadrants 1 and 2 It is v shaped it goes through the origin hope this helps!
What is the sine of 60?
sin60° = √3/2
The difference of a positive integer and a positive integer is sometimes negative True or False?
True, an example of this is 1 - 2 = -1 1 - -------2 is = to -15000 fact
Why does Sine Theta equal Sine 180 minus Theta?
When you subtract theta from 180 ( if theta is between 90 degrees and 180 degrees) you will get the reference angle of theta; the results of sine theta and sine of its reference angle will be the same and only the sign will be different depends on which quadrant the angle is located. Ex. 150 degrees' reference angle will be 30 degrees (180-150) sin150=1/2 (2nd quadrant); sin30=1/2 (1st quadrant) 1st quadrant: all trig functions are positive 2nd: sine and csc are positive 3rd: tangent and cot are positive 4th: cosine and secant are positive
What are quadrants in math?
| 1|2 | 3|4 |
Can a tangent be negative?
only in quadrants 2 and 3
What is the sine of 45 degress?
√ 1/2 = sine(45)= cosine(45) -Key
What is the sine s of pie over 2?
1
What is DC offset in signal generator?
A sine wave centered at zero will have a positive peak that is the same magnitude as the negative peak. This can be offset so the negative peak magnitude does not match the positive peak magnitude. For example a 1volt peak - neutral sine wave could be DC offset by 1 volt so the positive peak is at 2 volts and the negative peak is at 0.
How do you find the sine of an angle?
sine[theta]=opposite/hypotenuse=square root of (1-[cos[theta]]^2)
What is arcsine?
The arcsine is the angle whose sine is equal to the given value. arcsine is also called sine inverse (sin-1 ) if sin 30o = 1/2 , then sin-1 1/2 = 30o
How are sine and cosine and secant related?
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
Why value of sine lies between 1and -1?
2
How do you solve 2 sin squared theta equals 1?
first divide each side by 2 so you get... sine^2(X)=1/2 Then make sine ^2(X)=sine(x^2) SO you get... sine(X^2)=1/2 Then take the sine^-1 of each side it will look like this X^2=sine^-1(1/2) type the right side into a calc which will give you a gross decimal but it works (0.5235987756) so now you have X^2=0.5235987756 then take the square root of each side to make it linear and you will get X=.7236012546 and that is your answer!!!! make sure to check it on your calculator...I did and it worked * * * * * Not quite correct, I fear. Try this: Let s = sin θ. Then, 2s2 = 1; s2 = ½; and s = ±½√2. Therefore, θ = 45°, 135°, 225°, or 315°; or, if you prefer, θ = ¼π, ¾π, 1¼π, or 1¾π.
How do you determine the quadrants 0 and 0?
there is no quadrant 0... just 1 2 3 and 4.
