Similar Problems from Web Search
How do you evaluate \displaystyle{\tan{{\left(\frac{{{3}\pi}}{{4}}\right)}}} ?
//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)}}} ?
//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)}}} ?
//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
0° | 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;
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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