# What is the exact value of sin 5pi 4?

Sin 5pi/4 is the value of sine trigonometric function for an angle equal to 5pi/4 radians. The value of sin 5pi/4 is -(1/√2) or -0.7071 (approx).

What is the exact value of 5pi 4?

Explanation: sec(5π4)=1cos(5π4) .

What are the sine and cosine of 5π 4?

Trigonometric Function Values of Special Angles

150° 5π/6 -√3/2
180° π -1
210° 7π/6 -√3/2
225° 5π/4 -√2/2

How do you evaluate sin 5pi?

The value of sin 5pi can be calculated by constructing an angle of 5π radians with the x-axis, and then finding the coordinates of the corresponding point (-1, 0) on the unit circle. The value of sin 5pi is equal to the y-coordinate (0). ∴ sin 5pi = 0.

How do you find the reference angle of 5pi 4?

5π/4= 4π/4 + π/4 = π+π/4 Hence, the reference angle is π/4 fro the x-axis.

## Which of the following trigonometric expressions is equivalent to tan 5pi 4?

Tan 5pi/4 can also be expressed using the equivalent of the given angle (5pi/4) in degrees (225°). Since the tangent function is a periodic function, we can represent tan 5pi/4 as, tan 5pi/4 = tan(5pi/4 + n × pi), n ∈ Z. ⇒ tan 5pi/4 = tan 9pi/4 = tan 13pi/4 , and so on.

## What is the exact value of cot 7π 4 *?

What is Cot 7pi/4? Cot 7pi/4 is the value of cotangent trigonometric function for an angle equal to 7π/4 radians. The value of cot 7pi/4 is -1.

## Where is 5pi 4 on the unit circle?

Alan P. The point is π4 below the negative X-axis at a distance of 1 from the origin.

A B

## What is the exact value of sin?

How To Find The Exact Values of Trig Functions – YouTube

## How do you find the exact value of sin 5pi 3?

How to Compute sin(5pi/3) by Hand – YouTube

## How do you evaluate sin pi 4 without a calculator?

Sine &amp, Cosine of π/4 – YouTube

## What quadrant is 5pie over 4 in?

5π4 is an angle in Quadrant III and as such (based on CAST) its cos is negative.

## What is the reference angle of T 4?

How To Find The Reference Angle In Radians and Degrees

## How do I find my reference number?

Take the angle and check the circle angle wheel to figure out what your terminal point is. Calculate the reference number. The reference number equals pi – the terminal point. For example, if your terminal point = 5 pi / 6, your reference number = pi / 6.

## What is the exact value for tan?

The exact value of tan(60) is √3 .

## How do you find the exact value of CSC 5pi 4?

The exact value of csc(π4) csc ( π 4 ) is √2 .

## What is tan pi value?

The value of tan pi is 0. Tan pi radians in degrees is written as tan ((π) × 180°/π), i.e., tan (180°).

## How do you find the exact value of cot?

math30: Determining Exact Values for cot θ – YouTube

## What is the exact value of cot 5pi 3?

Cot 5pi/3 is the value of cotangent trigonometric function for an angle equal to 5π/3 radians. The value of cot 5pi/3 is -(1/√3) or -0.5774 (approx).

## How do you find the exact value of cot 5pi 6?

Cot 5pi/6 is the value of cotangent trigonometric function for an angle equal to 5π/6 radians. The value of cot 5pi/6 is -√3 or -1.7321 (approx).

## What quadrant is 5pi over 6 in?

The angle is in the second quadrant.

## What angle is 5pi 2?

Since π2 is in the first quadrant, the reference angle is π2 .

## How many radians is degrees in simplest form?

Degrees to Radians as a Decimal

Recall that a full circle (360° of rotation) is exactly 2π radians, so 180° is π radians. Therefore, one degree is 1/180th of π radians

## What is 5 pi over 3 radians in degrees 2 points?

5π / 3 radians is equivalent to 300°.

## 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 the value of cos 225 in decimal fraction?

The value of cos 225 degrees in decimal is -0.707106781. . .. Cos 225 degrees can also be expressed using the equivalent of the given angle (225 degrees) in radians (3.92699 . . .) ⇒ 225 degrees = 225° × (π/180°) rad = 5π/4 or 3.9269 . . . ∴ cos 225° = cos(3.9269) = -(1/√2) or -0.7071067. . .

## Whats an exact value?

Exact value is where you cannot estimate the value you must be precise, eg, you can’t estimate something as being around about 5 centimetres, no you need an exact value such as 5.62.

## Where does sin equal 1?

Sines and cosines for special common angles

90° π/2 1
60° π/3 √3 / 2
45° π/4 √2 / 2
30° π/6 1/2

## What is the exact value of sin 1?

The value of sin 1 is 0.8414709848, in radian. In trigonometry, the complete trigonometric functions and formulas are based on three primary ratios, i.e., sine, cosine, and tangent in trigonometry.

## What is the exact value of sin 5pi 2?

sin(5π2)=1 , cos(5π2)=0 , tan(5π2)=∞ , cot(5π2)=0 , sec(5π2)=∞ and csc(5π2)=1 .

## What is the exact value of sin over 3?

Calculating the exact value of sin 3 – YouTube

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

The value of cos pi/4 is 0.7071067. . .. Cos pi/4 radians in degrees is written as cos ((π/4) × 180°/π), i.e., cos (45°).

## How do I know if I have SOH CAH TOA?

In this geometry lesson, you’re going to learn all about SohCahToa. It’s probably one of the most famous math mnemonics alongside PEMDAS.

It’s defined as:

1. SOH: Sin(θ) = Opposite / Hypotenuse.
2. CAH: Cos(θ) = Adjacent / Hypotenuse.
3. TOA: Tan(θ) = Opposite / Adjacent.

## What is the reference angle?

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 the acute angle?

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

## What is the reference number of 5?

Reference angle is the smallest angle between the terminal side of the angle and the x-axis. Accordingly, the reference angle for 5 would be angle 5 it self.

## What is reference value math?

A reference value is the known and correct measurement for each part. The reference value is used for comparison during measurement system analysis. … Reference values are an average of repeated measurements from more accurate measuring equipment.

## What is reference No in bank?

A reference number is a unique identifier assigned to any financial transaction including those made using a credit or debit card. The reference number is created technologically and designated for a single transaction.