If Sine Of X Equals 1 Over 2, What Is Cos(X) And Tan(X)? Explain Your Steps In Complete Sentences.

The Trigonometric Functions of Sine, Cosine, and Tangent (also known as Sin, Cos, and Tan) are essential tools for any math student’s toolbox. In this article, we will explore a step-by-step process of solving a trigonometry problem involving the Sine function. We will be specifically looking at the equation “sin(x) = 1/2” and determining what the values of cos(x) and tan(x) would be. By working through this example, you can get a better understanding of how to use trigonometric functions in your own work.

The Sine of X

The sine of x is defined as the ratio of the side opposite to the angle x in a right angled triangle to the hypotenuse of the triangle. Sine of x is represented by sin(x).
If we take a look at the unit circle, we can see that the sine of x is equal to the y-coordinate of the point on the unit circle where x intersects it. This means that if we were to draw a line from (0,0) to (x,y), where y is equal to sin(x), then the angle between this line and the positive x-axis would be equal to x.

We can also see from the unit circle that cos(x) is equal to the x-coordinate of the point on the unit circle where x intersects it. This means that if we draw a line from (0,0) to (x,y), where y is equal to cos(x), then the angle between this line and the positive x-axis would be equal to x.

Similarly, we can see that tan(x) is equal to sin(x)/cos(x). This means that if we draw a line from (0,0) to (x,y), where y is equal to tan(x), then the angle between this line and the positive x-axis would be equal to x.

Cos(X) and Tan(X)

The cosine of x is equal to the sine of x divided by the cosine of x. The tangent of x is equal to the sine of x divided by the cosine of x.

How to find Cos(X) and Tan(X)

To find cos(x), we can use the Pythagorean theorem. First, we draw a right triangle. Then, we label the sides of the triangle. The hypotenuse is the side opposite the 90 degree angle, and is always labeled “c.” The side adjacent to angle x is labeled “a,” and the remaining side is labeled “b.” Now, we can use the Pythagorean theorem to solve for “a.” We know that a^2 + b^2 = c^2, so we can rearrange this equation to get a = sqrt(c^2 – b^2). Now that we know the value of “a,” we can use it to find cos(x). Cos(x) = a/c. To find tan(x), we use a similar method. First, we draw a right triangle and label the sides. Then, we use the Pythagorean theorem to solve for “b.” We know that b^2 = c^2 – a^2, so b = sqrt(c^2 – a^2). Now that we know the value of “b,” we can use it to find tan(x). Tan(x) = b/a.

Conclusion

In conclusion, when given a sine value of 1/2, one can calculate the cosine and tangent value by using the Pythagorean identity along with some basic trigonometric functions. By beginning with the definition of sine as “opposite side over hypotenuse”, we can then use the reciprocal identities to solve for cos and tan in terms of sin. This method provides an efficient way to attain both values quickly and easily.