What is the value of tan 3pi/4

How do you evaluate \displaystyle{\tan{{\left(\frac{{{3}\pi}}{{4}}\right)}}} ?

https://socratic.org/questions/how-do-you-evaluate-tan-3pi-4

\displaystyle{\tan{{\left(\frac{{{3}\pi}}{{4}}\right)}}}=-{1} Explanation: \displaystyle\frac{{{3}\pi}}{{4}}=\pi-\frac{\pi}{{4}} \displaystyle{a}=\pi \displaystyle{b}=\frac{\pi}{{4}} ...

How do you evaluate \displaystyle{\tan{{\left(\frac{{-{7}\pi}}{{4}}\right)}}} ?

https://socratic.org/questions/how-do-you-evaluate-tan-7pi-4

\displaystyle{\tan{{\left(\frac{{-{7}\pi}}{{4}}\right)}}}={1} Explanation: Note that \displaystyle\frac{{-{7}\pi}}{{4}} is equivalent to \displaystyle\frac{\pi}{{4}} which is one of the ...

How do you evaluate \displaystyle{\tan{{\left(\frac{{{3}\pi}}{{2}}\right)}}} ?

https://socratic.org/questions/how-do-you-evaluate-tan-3pi-2

\displaystyle{\left({\tan{{\left(\frac{{{3}\pi}}{{2}}\right)}}}=\infty\right.} Explanation: \displaystyle{{\tan{{\left(\frac{{{3}\pi}}{{2}}\right)}}}^{{c}}=}{{\tan{{270}}}^{\circ}} \displaystyle{270}^{\circ}\ \text{ falls in III Quadrant where tan and cot are positive} ...

Enter angle in degrees or radians:


Calculate 3 tan(3π/4)

Determine quadrant:

Since our angle is greater than π/2 and less than or equal to π radians, it is located in Quadrant II
In the second quadrant, the values for sin are positive only.

Determine angle type:

135 is an obtuse angle since it is greater than 90°

tan(3π/4) = -1

Multiply our answer by our coefficient of 3

3tan(3π/4) = 3(-1)
3tan(3π/4) = -3

In Microsoft Excel or Google Sheets, you write this function as =3*TAN(3PI()/4)

Trigonometric Function Values of Special Angles

θ°θradianssin(θ)cos(θ)tan(θ)csc(θ)sec(θ)cot(θ)
0 0 1 0 0 1 0
30° π/6 1/2 3/2 3/3 2 2√3/3 3
45° π/4 2/2 2/2 1 2 2 1
60° π/3 3/2 1/2 3 2√3/3 2 3/3
90° π/2 1 0 N/A 1 0 N/A
120° 2π/3 3/2 -1/2 -√3 2√3/3 -2 -√3/3
135° 3π/4 2/2 -√2/2 -1 2 -√2 -1
150° 5π/6 1/2 -√3/2 -√3/3 2 -2√3/3 -√3
180° π 0 -1 0 0 -1 N/A
210° 7π/6 -1/2 -√3/2 3/3 -2 -2√3/3 3
225° 5π/4 -√2/2 -√2/2 1 -√2 -√2 1
240° 4π/3 -√3/2 -1/2 3 -2√3/3 -2 3/3
270° 3π/2 -1 0 N/A -1 0 N/A
300° 5π/3 -√3/2 1/2 -√3 -2√3/3 2 -√3/3
315° 7π/4 -√2/2 2/2 -1 -√2 2 -1
330° 11π/6 -1/2 3/2 -√3/3 -2 2√3/3 -√3


Show Trigonometry Function Unit Circle;

What is the value of tan 3pi/4


How does the Trig Measurement Calculator work?

Given an angle θ, this calculates the following measurements:
Sin(θ) = Sine
Cos(θ) = Cosine
Tan(θ) = Tangent
Csc(θ) = Cosecant
Sec(θ) = Secant
Cot(θ) = Cotangent
Arcsin(x) = θ = Arcsine
Arccos(x) = θ = Arccosine
Arctan(x) =θ = Arctangent
Also converts between Degrees and Radians and Gradians
Coterminal Angles as well as determine if it is acute, obtuse, or right angle. For acute angles, a cofunction will be determined. Also shows the trigonometry function unit circle

What concepts are covered in the Trig Measurement Calculator?

anglesincosinereciprocal of sinetangentsecantcosecantcotangentradiangradianmeasurement unit for an angle

Trig Measurement Calculator Video


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What is the value of tan 3pi by 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 value of 3 pi by 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 3pi 4?

The value of cos 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 cos 3pi/4 is equal to the x-coordinate (-0.7071). ∴ cos 3pi/4 = -0.7071.

What are the sine cosine and tangent of 3pi 4?

The given angle θ = 3 pi over 4 radians lies in the second quadrant because it is less than 𝜋. Therefore, the sine, cosine and tangent of θ = 3 pi over 4 radians are √22,−√22and−1 2 2 , − 2 2 a n d − 1 .