What are the values of x and y when theta is 15 degrees?

MHB
Thread starter xyz_1965
Start date Jul 27, 2020

In summary, the formula for calculating x and y when theta is 15 degrees is x = cos(15 degrees) and y = sin(15 degrees), or x = cos(π/12) and y = sin(π/12). To solve for x and y when theta is 15 degrees, use the trigonometric identities of sine and cosine. In a right triangle, x is equal to the adjacent side and y is equal to the opposite side when theta is 15 degrees. These values have many real life applications, such as calculating heights and distances, and can be easily calculated using a calculator or mathematical software.

Jul 27, 2020

xyz_1965

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Let theta be 15 degrees.

Here is my set up.

To find x, use tan (15°) = x/200.

To find y, use cos (15°) = 200/y.

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Aug 4, 2020

Monoxdifly

MHB

Yes, you can proceed from there.

Related to What are the values of x and y when theta is 15 degrees?

1. What is the equation for finding the values of x and y when theta is 15 degrees?

The equation for finding the values of x and y when theta is 15 degrees is x = r cos(theta) and y = r sin(theta), where r is the length of the hypotenuse.

2. How do you determine the values of x and y when theta is 15 degrees on a graph?

To determine the values of x and y when theta is 15 degrees on a graph, you can plot the point (x,y) on a coordinate plane where x = r cos(theta) and y = r sin(theta), with r being the length of the hypotenuse.

3. Can the values of x and y be negative when theta is 15 degrees?

Yes, the values of x and y can be negative when theta is 15 degrees. It depends on the quadrant in which the point (x,y) lies on the coordinate plane.

4. How do you calculate the length of the hypotenuse when given the values of x and y when theta is 15 degrees?

The length of the hypotenuse can be calculated using the Pythagorean theorem, where c is the length of the hypotenuse and a and b are the lengths of the other two sides. The equation is c = sqrt(a^2 + b^2). In this case, a = x and b = y.

5. Can the values of x and y be fractions or decimals when theta is 15 degrees?

Yes, the values of x and y can be fractions or decimals when theta is 15 degrees. The values of x and y will depend on the length of the hypotenuse and the angle theta, which can result in fractions or decimals.