find the value of cos^0+1/1+cos1^0.
Answers
The value of cos 0 is 1.
Here, we will discuss the value for cos 0 degrees and how the values are derived using the quadrants of a unit circle. The trigonometric functions are also known as an angle function that relates the angles of a triangle to the length of the triangle sides. Trigonometric functions are one of the most important topics which are used in the study of periodic phenomena like sound and light waves, the study of harmonic oscillators and finding the average temperature variations.
The three basic trigonometric ratios are sine function, cosine function, and tangent function. It is commonly defined for the angles less than a right angle, trigonometric functions are stated as the ratio of two sides of a right triangle containing the angle in which the values can be found in the length of various line segments around a unit circle. The angles of a triangle are calculated with respect to sin, cos and tan functions. Usually, the degrees are represented as 0°, 30°, 45°, 60°, 90°, 180°, 270° and 360°.
Cos 0 Degree Value
To define the cosine function of an acute angle, start with the right-angled triangle ABC with the angle of interest and the sides of a triangle. The three sides of the triangle are defined as follows:
The opposite side is defined as the side opposite the angle of interest.
The hypotenuse side is the side opposite the right angle and it is the longest side of a right triangle
The adjacent side is the remaining side where it forms a side of both the angle of interest and the right angle
The cosine function of an angle is equal to the length of the adjacent side divided by the length of the hypotenuse side and the formula is given by:
Cos θ = Adjacent Side / Hypotenuse Side
Value of Cos 0 Using Unit Circle
Assume a unit circle with the center at the origin of the coordinate axes. Consider that P (a, b) be any point on the circle which forms an angle AOP = x radian. This means that the length of the arc AP is equal to x. So we define that cos x = a and sin x = b