NewsHow do you evaluate SEC 7pi 4?

# How do you evaluate SEC 7pi 4?

The value of sec 7pi/4 can be calculated by constructing an angle of 7π/4 radians with the x-axis, and then finding the coordinates of the corresponding point (0.7071, -0.7071) on the unit circle. The value of sec 7pi/4 is equal to the reciprocal of the x-coordinate(0.7071). ∴ sec 7pi/4 = 1.4142.

## What is the value of Cos 7pi by 4?

The value of cos 7pi/4 is 0.7071067. . .. Cos 7pi/4 radians in degrees is written as cos ((7π/4) × 180°/π), i.e., cos (315°).

## What is the cot of 7pi 4?

The value of cot 7pi/4 is -1. Cot 7pi/4 radians in degrees is written as cot ((7π/4) × 180°/π), i.e., cot (315°).

## What is csc formula?

The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .

## How do you find the exact value of csc pi 4?

The value of csc pi/4 can be calculated by constructing an angle of π/4 radians with the x-axis, and then finding the coordinates of the corresponding point (0.7071, 0.7071) on the unit circle. The value of cosec pi/4 is equal to the reciprocal of the y-coordinate (0.7071). ∴ csc pi/4 = 1.4142.

## What is csc?

The cosecant ( csc ⁡ ) (csc) (csc) The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

## What are the six trig functions of?

There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

## What is the exact value of csc pi 2?

The value of csc pi/2 can be calculated by constructing an angle of π/2 radians with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of cosec pi/2 is equal to the reciprocal of the y-coordinate (1). ∴ csc pi/2 = 1.

## What is the exact value of cos 7pi 12?

The value of cos 7pi/12 is -0.2588190. . .. Cos 7pi/12 radians in degrees is written as cos ((7π/12) × 180°/π), i.e., cos (105°).

## How do you find the exact value of cos 7pi 12?

Split 7π12 7 π 12 into two angles where the values of the six trigonometric functions are known. Apply the sum of angles identity. The exact value of cos(π4) cos ( π 4 ) is √22 .

## What’s csc in trig?

Trigonometry ratios are defined by representing the relationship between sides and angles of a right-angled triangle. Thus, the cosecant of an angle is the ratio of the length of the hypotenuse and length of the side opposite the angle. Cosecant is abbreviated as csc. csc θ = Hypotenuse / Side opposite to θ

## Is cosecant the inverse of cosine?

Given a triangle rectangle, we define the cosecant, the secant and the cotangent of an angle as the inverse ratios of the sine, the cosine and the tangent, respectively.

## What is the value of cosec 45?

Cosec 45 degrees is the value of cosecant trigonometric function for an angle equal to 45 degrees. The value of cosec 45° is √2 or 1.4142 (approx).

## Why is the csc of pi undefined?

Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.

## What is the value of Cosec 240?

Cosec 240 degrees is the value of cosecant trigonometric function for an angle equal to 240 degrees. The value of cosec 240° is -2/√3 or -1.1547 (approx).