Frequently Asked QuestionsHow do you find the exact value of sin 3pi 4?

# How do you find the exact value of sin 3pi 4?

The value of sin 3pi/4 can be calculated by constructing an angle of 3π/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 sin 3pi/4 is equal to the y-coordinate (0.7071). ∴ sin 3pi/4 = 0.7071.

## How do you solve Cos 3pi?

The value of cos 3pi can be calculated by constructing an angle of 3π radians with the x-axis, and then finding the coordinates of the corresponding point (-1, 0) on the unit circle. The value of cos 3pi is equal to the x-coordinate (-1). ∴ cos 3pi = -1.

## How do you find the exact value of cot 3pi 4?

The value of cot 3pi/4 is -1. Cot 3pi/4 radians in degrees is written as cot ((3π/4) × 180°/π), i.e., cot (135°).

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## How do you solve sin 3pi?

The value of sin 3pi can be calculated by constructing an angle of 3π radians with the x-axis, and then finding the coordinates of the corresponding point (-1, 0) on the unit circle. The value of sin 3pi is equal to the y-coordinate (0). ∴ sin 3pi = 0.

## How do you find Cos 3pi 2 without a calculator?

How to Find the Value of Cos 3pi/2? The value of cos 3pi/2 can be calculated by constructing an angle of 3π/2 radians with the x-axis, and then finding the coordinates of the corresponding point (0, -1) on the unit circle. The value of cos 3pi/2 is equal to the x-coordinate (0). ∴ cos 3pi/2 = 0.

## What is cot value?

The value of cot 1 degrees is 57.2899616. . .. Cot 1 degrees in radians is written as cot (1° × π/180°), i.e., cot (0.017453. . .).

## What is cot 3pi2?

What is Cot 3pi/2? Cot 3pi/2 is the value of cotangent trigonometric function for an angle equal to 3π/2 radians. The value of cot 3pi/2 is 0.

## Is sin 3pi 2 equal to?

What is Sin 3pi/2? Sin 3pi/2 is the value of sine trigonometric function for an angle equal to 3pi/2 radians. The value of sin 3pi/2 is -1.

## How do I find the reference angle?

So, if our given angle is 110°, then its reference angle is 180° – 110° = 70°. When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°. So, if our given angle is 214°, then its reference angle is 214° – 180° = 34°.

## What is half of 3pi in radians?

Half of 3pi is 3π2or≈4.71 As pi is not a rational number when we multiply or divide numbers by pi we get answers that are also non-rational.

## What is Sinpi?

What is the value of sin pi? In trigonometry, we use pi (π) for 180 degrees to represent the angle in radians. Hence, sin π is equal to sin 180 or sin π = 0.

## How do you find the exact value of csc 2pi 3?

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The exact value of csc(π3) csc ( π 3 ) is 2√3 . Multiply 2√3 by √3√3 .

## What is the exact value of csc 3pi 4?

What is Cosec 3pi/4? Cosec 3pi/4 is the value of cosecant trigonometric function for an angle equal to 3π/4. The value of cosec 3pi/4 is √2 or 1.4142 (approx).

## On which axis does the terminal side of 3pi 2 lie?

Explanation: In standard position, an angle of 3π2 has a hypotenuse which falls along the negative Y-axis. If a hypotenuse of unit length is swung towards the negative Y-axis, the side opposite the origin approaches -1.

## Is tan 1 equal to cot?

Cotangent is not same as tangent inverse. Cotangent function is equal to the reciprocal of tangent function.

## What is the exact value of cot240?

Cot 240 degrees is the value of cotangent trigonometric function for an angle equal to 240 degrees. The value of cot 240° is 1/√3 or 0.5774 (approx).

## What is the cot of 270?

Cot 270 degrees is the value of cotangent trigonometric function for an angle equal to 270 degrees. The value of cot 270° is 0.

## What quadrant is sin 3pi2?

Make the expression negative because sine is negative in the fourth quadrant. The exact value of sin(π2) sin ( π 2 ) is 1 .

## What is between pi and 3pi 2?

In this quadrant, if we join the point to origin, the angle θ formed by this line with positive side of x -axis is between 180∘ and 270∘ or between π and 3π2 , which we can write as π

## What is 11π6 radians in degrees?

Tan 11pi/6 can also be expressed using the equivalent of the given angle (11pi/6) in degrees (330°).

## What is reference angle in math?

When an angle is drawn on the coordinate plane with a vertex at the origin, the reference angle is the angle between the terminal side of the angle and the x-axis. The reference angle is always between 0 and 2π radians (or between 0 and 90 degrees).

## What is reference angle and examples?

We use the reference angle to find the values of trigonometric functions at an angle that is beyond 90°. For example, we can see that the coterminal angle and reference angle of 495° are 135° and 45° respectively.