Is tan 3pi 2 undefined?

Is tan 3pi 2 undefined?

The triginometric expression tan(3π2) ⁡ ( 3 π 2 ) is undefined because it has something to do with the domain of tan(x) ⁡ . The domain of tan(x) ⁡ is all real numbers except x=π2+nπ x = π 2 + n π , where n is any integer. Since, 3π2 3 π 2 is also equivalent to π2+π π 2 + π .

What is the exact value of tan 2π?

0

What is the Value of Tan 2pi? The value of tan 2pi is 0. Tan 2pi can also be expressed using the equivalent of the given angle (2pi) in degrees (360°).

How do you find the value of sin 3pi 2?

The value of sin 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 sin 3pi/2 is equal to the y-coordinate (-1). ∴ sin 3pi/2 = -1.

What is the exact value of tan 3pi 4?

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

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

The value of sin 3pi/2 is -1. Sin 3pi/2 radians in degrees is written as sin ((3π/2) × 180°/π), i.e., sin (270°).

Using trigonometry formulas, we can represent the sin 3pi/2 as:

  1. ± √(1-cos²(3pi/2))
  2. ± tan(3pi/2)/√(1 + tan²(3pi/2))
  3. ± 1/√(1 + cot²(3pi/2))
  4. ± √(sec²(3pi/2) – 1)/sec(3pi/2)
  5. 1/cosec(3pi/2)

How do you solve 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.

How do you solve Tan 3pi 2?

Tan 3pi/2 radians in degrees is written as tan ((3π/2) × 180°/π), i.e., tan (270°).
We can use trigonometric identities to represent tan 3pi/2 as,

  1. cot(pi/2 – 3pi/2) = cot(-pi)
  2. -cot(pi/2 + 3pi/2) = -cot 2pi.
  3. -tan (pi – 3pi/2) = -tan(-pi/2)

How do you find the exact value of a trigonometric function?

How To Find The Exact Values of Trig Functions – YouTube

How do you solve tan 3pi 2?

What is the value of sin270?

Answer: Sin 270 degrees has a value of -1.

What is 3pi 2 on the unit circle?

Angle 3π2 corresponds to a point with coordinates (0,−1) on a unit circle. Therefore, cos(3π2)=0 . Since sec(3π2)=1cos(3π2) and cos(3π2)=0 , the value of sec(3π2) is undefined.

What is the value of 3π?

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.

What is the exact value?

Definition. 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. Exact value. Return to Mathematics Home.

How do you find sin 3pi 2?

To find the value of sin 3π/2 using the unit circle: Rotate ‘r’ anticlockwise to form 3pi/2 angle with the positive x-axis. The sin of 3pi/2 equals the y-coordinate(-1) of the point of intersection (0, -1) of unit circle and r.

What is the exact value of sin90?

equal to 1
What is the exact value of sin 90 degrees? The exact value of sin 90 degrees is equal to 1.

How do you find the value of 3pi 2?

What is the exact value of cos 3pi 2?

What is the Value of Cos 3pi/2? The value of cos 3pi/2 is 0. Cos 3pi/2 can also be expressed using the equivalent of the given angle (3pi/2) in degrees (270°). Since the cosine function is a periodic function, we can represent cos 3pi/2 as, cos 3pi/2 = cos(3pi/2 + n × 2pi), n ∈ Z.

How do you write exact value?

How do you do exact trigonometry?

Exact Trig Values (Maths GCSE Revision Higher and Foundation)

What is the value of tan 45º?

1
The value of tan 45 degrees is 1. Tan 45 degrees in radians is written as tan (45° × π/180°), i.e., tan (π/4) or tan (0.785398. . .).

What are the trig functions for 3pi 2?

We can use trigonometric identities to represent sin 3pi/2 as, sin(pi – 3pi/2) = sin(-pi/2) -sin(pi + 3pi/2) = -sin 5pi/2. cos(pi/2 – 3pi/2) = cos(-pi)

How do you solve cos3pi?

How do I find the exact value of trig functions?

How do you find the exact value of trigonometric functions?

How To Find The Exact Trigonometric Values | GCSE Maths Tutor

How do you find the exact value of tan?

In trigonometry, the tangent of an angle in a right-angled triangle is equal to the ratio of opposite side and the adjacent side of the angle. Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.

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