In Mathematics, there are a total of six different types of trigonometric functions which are sine (sin), Cosine (cos), Secant (sec), Cosecant (cosec), Tangent (tan), and Cotangent (cot). All these six different types of trigonometric functions symbolize the relationship between the ratios of different sides of a right-angle triangle. These trigonometric functions are important for studying triangles, height, and distance, light, sound, wave, etc. The theta formula for different trigonometric functions is different, Theta is represented by θ.
In a Right-Angled Triangle
Sine (θ) = Opposite/Hypotenuse
Cos (θ) = Adjacent/Hypotenuse
Tan (θ) = Opposite/Adjacent
Cot (θ) = Adjacent/Opposite
Cosec (θ) = Hypotenuse/Opposite
Sec (θ) = Hypotenuse/Adjacent
In this topic, we will discuss what is cos theta and the values of different angles.
Cos Angle Formula
In a right-angled triangle. The Cos theta or cos θ is the ratio of the adjacent side to the hypotenuse.
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In the given right angle triangle A is an adjacent side, O is perpendicular and H represents the hypotenuse.
Cos θ = Adjacent/Hypotenuse
Here θ represents the angle of a triangle. The angles by which trigonometric functions can be represented are called trigonometry angles. The important angles of trigonometry are 0°, 30°, 45°, 60°, 90°. All of these are standard angles of trigonometric ratios, such as sin, cos, tan, sec, cosec, and cot. Each of these angles has different values with different trigonometric functions.
Note: 1 cos theta = 1. Cos θ; Eg: 1 cos 30° = 1. Cos 30° = 1 x √3/2 = √3/2
And cos θ = 1/sec θ
Or, sec θ = 1/cos θ
Also, sin (90 - θ) = cos θ and Cos (90 - θ) = sin θ.
Also remember sin 45 = cos 45 = 1/√2. The value of sin θ and cos θ can never be greater than 1.