What is the exact value of tan 3pi 4
Nathan Sanders
Published Apr 19, 2026
What is Tan 3pi/4? Tan 3pi/4 is the value of tangent trigonometric function for an angle equal to 3π/4 radians. The value of tan 3pi/4 is -1.
What is the exact value of cos 3pi 4?
The value of cos 3pi/4 is equal to the x-coordinate (-0.7071). ∴ cos 3pi/4 = -0.7071.
What is the value of 3π 4 in degrees?
The degree form when we convert $\dfrac{{3\pi }}{4}$ radians to degrees is equal to 135 degrees.
What is the exact value of sin 3pi 4?
Sin 3pi/4 is the value of sine trigonometric function for an angle equal to 3pi/4 radians. The value of sin 3pi/4 is 1/√2 or 0.7071 (approx).How do you find the exact value of cot 3pi 4?
- tan (pi/2 – 3pi/4) = tan(-pi/4)
- -tan (pi/2 + 3pi/4) = -tan 5pi/4.
- -cot (pi – 3pi/4) = -cot pi/4.
How do you find the value of cos 3pi?
- -cos(pi – 3pi) = -cos(-2pi)
- -cos(pi + 3pi) = -cos 4pi.
- sin(pi/2 + 3pi) = sin 7pi/2.
- sin(pi/2 – 3pi) = sin(-5pi/2)
How do you find the exact value of tan PI 4?
The value of tan pi/4 is 1. Tan pi/4 can also be expressed using the equivalent of the given angle (pi/4) in degrees (45°). Since the tangent function is a periodic function, we can represent tan pi/4 as, tan pi/4 = tan(pi/4 + n × pi), n ∈ Z. ⇒ tan pi/4 = tan 5pi/4 = tan 9pi/4 , and so on.
How do you find the value of sin 135?
The value of sin 135° is equal to the y-coordinate (0.7071). ∴ sin 135° = 0.7071.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.
Is 3pi 4 rational or irrational?3π is irrational.
Article first time published onWhat degree is 3pi?
Radians (rad)Radians (rad)Degrees (°)3π/4 rad2.3561944902 rad135°5π/6 rad2.6179938780 rad150°π rad3.1415926536 rad180°3π/2 rad4.7123889804 rad270°
What angle is 3pi?
AB60 degreespi/3 radians90 degreespi/2 radians120 degrees2pi/3 radians135 degrees3pi/4 radians
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?
The value of cot 3pi/2 is 0. Cot 3pi/2 radians in degrees is written as cot ((3π/2) × 180°/π), i.e., cot (270°).
What is cotangent equal to?
The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . 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 tan?
The tangent function, along with sine and cosine, is one of the three most common trigonometric functions. In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as ‘tan’.
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°).
What is tan1?
In radians this is tan-1 1 = π/4. More: There are actually many angles that have tangent equal to 1. We are really asking “what is the simplest, most basic angle that has tangent equal to 1?” As before, the answer is 45°. Thus tan-1 1 = 45° or tan-1 1 = π/4.
Where is 3pi on the unit circle?
Referring to the figure, we can say that the angle 3π or 540∘ lies along the negative x-axis.
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.
How do you find the value of cos 270?
How to Find the Value of Cos 270 Degrees? The value of cos 270 degrees can be calculated by constructing an angle of 270° with the x-axis, and then finding the coordinates of the corresponding point (0, -1) on the unit circle. The value of cos 270° is equal to the x-coordinate (0). ∴ cos 270° = 0.
Why is sin 3pi 2 equal?
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 sin30 value?
The value of sin 30 degrees is 0.5. Sin 30 is also written as sin π/6, in radians. The trigonometric function also called as an angle function relates the angles of a triangle to the length of its sides.
What is the exact value of 3pi 2?
3∏/2 is 270 °, and is located on the end of the 3rd quarter, and beginning of 4th quarter on unit circle.
What is the exact value of tan 135?
FAQs on Tan 135 Degrees Tan 135 degrees is the value of tangent trigonometric function for an angle equal to 135 degrees. The value of tan 135° is -1.
What are the sine and cosine of − 270?
sin(270o)=−1,cos(270o)=0,tan(270o)=−10= undefined.
What is the value of sin 270 Theta?
We know the trigonometric identity sin(270∘+θ)=−cosθ. Hence, the sine of 270 degrees is -1. We know the trigonometric identity cos(270∘+θ)=sinθ. Hence, the cosine of 270 degrees is 0.
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.
Is 3π a rational number?
The number 3π is a rational number. If a number is rational, then it is also an integer.
Is 2.3535 a rational number?
R D Sharma – Mathematics 9 If the decimal expansion is non terminating i.e. it doesn’t ends after period of digits but repeating, then it is said to be a rational no. (Ex: 2.3535… , 1.2121..) Irrational Nos= If the decimal expansion is non terminating and non repeating than the no is said to be irrational.
Is 3.605551275 A rational?
Identify each of the following as rational or irrational: (a) 0.58¯3 (b) 0.475 (c) 3.605551275… The bar above the 3 indicates that it repeats. Therefore, 0.583 – is a repeating decimal, and is therefore a rational number. This decimal stops after the 5, so it is a rational number.
