If you have a right angled triangle, then:
sin(angle) = opposite_side/hypotenuse
Otherwise, if the angle (x) is expressed in radians, it can be calculated by the infinite sum:
sine(x) = x - x3/3! + x5/5! - x7/7! + ...
where the rth term (r ≥ 1) is:
x(2r-1)/(2r-1)! (-1)r-1
The sine of an angle of a right triangle - which is a triangle containing one 90o angle - is calculated as the length of the side opposite the angle divided by the length of the hypotenuse. For very small values of x, sin(x) is approximately equal to x.
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.
To solve for an angle of a triangle using the sine rule, you first need to know at least one side length and the angles opposite to that side, or two sides and a non-included angle. The sine rule states that the ratio of a side length to the sine of its opposite angle is constant for all three sides and angles of the triangle. You can rearrange the formula ( \frac{a}{\sin(A)} = \frac{b}{\sin(B)} ) to find the sine of the unknown angle, and then use the inverse sine function to calculate the angle itself. This method is particularly useful in non-right triangles.
kvar can be calculated as follows the a product KVA andt the sine of the angle between the KVA and KW.
the sine of an angle can't be greater than 1.0
The sine of an angle of a right triangle - which is a triangle containing one 90o angle - is calculated as the length of the side opposite the angle divided by the length of the hypotenuse. For very small values of x, sin(x) is approximately equal to x.
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.
To solve for an angle of a triangle using the sine rule, you first need to know at least one side length and the angles opposite to that side, or two sides and a non-included angle. The sine rule states that the ratio of a side length to the sine of its opposite angle is constant for all three sides and angles of the triangle. You can rearrange the formula ( \frac{a}{\sin(A)} = \frac{b}{\sin(B)} ) to find the sine of the unknown angle, and then use the inverse sine function to calculate the angle itself. This method is particularly useful in non-right triangles.
To find which angle has a sine of 0.13, you calculate arcsin or sin^-1(0.13) =7.47 degrees 7.47 degrees has a sine of 0.13. There is also another angle , below 360 , has a sine of 0.13. Subtract 7.47 from 180. 180-7.47 = 172.53 degrees also has a sine of 0.13.
kvar can be calculated as follows the a product KVA andt the sine of the angle between the KVA and KW.
the sine of an angle can't be greater than 1.0
the sine of a 30 degree angle is 0.5
No. The sine of an angle is not directly proportional to the angle. It is a function of the angle, but it is periodic, repeating every 360 degrees of the angle.
It is 1.
You can calculate that on any scientific calculator. Just make sure that the calculator is set to "degrees". As a check, the sine of 90° should come out as exactly 1.
The measure of only one angle and one side is not sufficient to calculate the lengths of the sides of a triangle. If you have one more angle or one more side you can use the sine rule.
The sine of a negative angle is equal to the negative sine of the corresponding positive angle. This is expressed mathematically as (\sin(-\theta) = -\sin(\theta)). This property reflects the odd function nature of the sine function, which means that its graph is symmetric about the origin. Therefore, if you know the sine of a positive angle, you can easily determine the sine of its negative counterpart.