Cosec Cot Formula

Cosec Cot Formula

Trigonometry is the field of study dealing with the relationships between angles, heights, and lengths in right triangles. This article covers the topic of the Cosec Cot Formula. The ratio of the sides of a right triangle is known as the trigonometric ratio. There are six major ratios in trigonometry: sin, cos, tan, cot, sec, and cosec. All these ratios have different formulas. Use the three sides and corners of a right triangle. Trigonometric ratios are relationships between angle and length measurements. A right triangle has a hypotenuse, a base, and a perpendicular. These three pages let you get the values ​​of all six functions. Trigonometry is the branch of mathematics that deals with the relationships between angles, heights and lengths in right triangles. The ratio of the sides of a right triangle is known as the trigonometric ratio. Sin, cos, tan, cot, sec, and cosec are the six most important trigonometric ratios. The formula for each of these ratios is different. Use the three sides and corners of a right triangle. Refer to Extramarks for Cosec Cot Formula

What Is Cosec Cot Formula?

What is the Cosec Cot Formula?

Information on the Cosec Cot Formula is given below:

 Cosec x = Hypotenuse / Opposite side

 cot x is x = Adjacent side / Opposite side

The study of the relationships between angles, heights and lengths in triangles is called trigonometry. Trigonometry has many uses in engineering, architectural design, astronomy, and physics.

Trigonometry identities are very useful. There are many areas where these can be applied.

Trigonometry has six main functions: Sin, Cos, Tan, Cot, Sec, and Cosec. All these functions have different expressions. Learners can search for Cosec Cot Formula on Extramarks.

The relationship between angle and length measurements is called the trigonometric ratio.

A right triangle has a hypotenuse, a base, and a perpendicular. And using these three aspects, we can find the values ​​of all six functions. Cosec = Hypotenuse / Plunge

cot = base/vertical

• What is the Cosec Cot Formula?

cosec x = hypotenuse / opposite side

cot x is

bed x = adjacent side / opposite side

The Cosec Cot Formula is:

1 + cot2θ = cosec2θ

Trigonometric identities are equations that apply to various trigonometric functions and apply to all values ​​of variables within a domain. These are equations for all possible values ​​of the variables and trigonometric ratios used in these identities are sine, cosine, tangent, cosecant, secant, and cotangent. All these trigonometric ratios are calculated using the sides of a right triangle, such as the adjacent side, the opposite side, and the hypotenuse. These trigonometric identities are valid only for right triangles. Students are advised to learn Cosec Cot Formula.

Examples of Cosec Cot formula

Example 1: Prove that (cosec θ – cot θ)2 = (1 – cos θ)/(1 + cos θ).

Resolution:

LHS=(cosec θ – cot θ) 2

= (1/sinθ − cosθ/sinθ)2

= ((1−cosθ)/sinθ)2

RHS = (1 – cos θ)/(1 + cos θ)
= (1−cosθ)/(1+cosθ)×(1−cosθ)(1−cosθ)

= (1−cosθ)2/(1−cos2θ)

= (1−cosθ)2/sin2θ

= ((1−cosθ)/sinθ)2

Therefore LHS = RHS

Example 2: Assuming Tan P = 4 / 3 Find Cot P

Resolution:

According to Cotangente’s formula:

Cotto P = 1 / Tan P

= 1 / (4 / 3)

= 3/4

Therefore Cot P = 3/4