About Sin Cos Tan
Basic trigonometric ratios used to examine the relationship between angles and sides of a triangle are sin, cos, and tan trigonometry (especially in a right-angled triangle). Pythagoras worked on the Pythagorean theorem to establish the relationship between the sides of a right triangle, while Hipparchus used trigonometry to establish the relationship between the sides and angles of a right triangle. In trigonometry, the sin, cos, and tan formulas are used to calculate the missing sides or angles of a right-angled triangle.
What do you mean by Sin Cos Tan in Trigonometry?
Sin, cosine, and tangent are the three fundamental trigonometric ratios, each of which yields the ratio of two sides of a right-angled triangle. The longest side of a right-angled triangle is called the "hypotenuse," while the other two sides are called the "legs." That is, the longest side of a right-angled triangle is still called the "hypotenuse" in trigonometry, but the other two legs are called:
- opposite side and
- adjacent side
The "opposite" and "adjacent" sides are determined by the angle being discussed.
- The "opposite side," also known as the perpendicular, is the side that lies directly across from the angle
- The "adjacent side" or base is the side that "touches" the angle (other than the hypotenuse).
Sin Cos Tan Values
The values of a respective trigonometric function for a given angle are referred to as Sin, Cos, and Tan values in trigonometry. The needed ratio of the sides can be used to get the sin, cos, and tan values for a given right triangle. In the next sections, we'll go over the formulas for calculating these ratios in greater detail.
Formulas of Sin Cos Tan
In trigonometry, the sin, cos, and tan functions are defined in terms of two of a right-angled triangle's three sides (opposite, adjacent, and hypotenuse). Here are the sin, cos, and tan formulas.
- sin θ = Opposite/Hypotenuse
- cos θ = Adjacent/Hypotenuse
- tan θ = Opposite/Adjacent
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