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Welcome to tan 315°, our post aboutthe tangent of 315 degrees.

For the tangent of 315 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 315°.

If you have been looking for what is tan 315°, or if you have been wondering about tan 315 degrees in radians, then you are right here, too.

In this post you can find the tan 315° value, along with identities.

Read on to learn all about the tan of 315°.

If you want to know what is tan 315 degrees in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what’s ahead in this section is the value of tan 315°:

The tan of 315 degrees is -1, the same as tan of 315 degrees in radians. To obtain 315 degrees in radian multiply 315° by $\pi$ / 180° = 7/4 $\pi$. Tan 315degrees = tan (7/4 × $\pi)$.

Our results of tan315° have been rounded to five decimal places. If you want tangent 315° with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate tan 315 degrees insert the angle 315 in the field labelled °, but if you want to calculate tan 315 in radians, then you have to press the swap unit button first.

The identities of tangent 315° are as follows:

-tan315°= tan (-315°) = -tan 315°= cot (90°+315°) = cot 405°= tan (180°-315°) = tan -135°

There are more formulas for the double angle (2 × 315°), half angle ((315/2)°) as well as the sum, difference and products of two angles such as 315° and β.

You can locate all of them in the respective article found in the header menu. To find everything about tan -315° click the link. And here is all about cot 315°, including, for instance, a converter.

In terms of the other five trigonometric functions, tan of 315° =

As the cotangent function is the reciprocal of the tangent function, 1 / cot 315° = tan315°.

In the next part of this article we discuss the trigonometric significance of tan315°, and there you can also learn what the search calculations form in the sidebar is used for.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 315 degrees is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

Applying the unit-circle definition found on our homepage, assumed r = 1, in the intersection of the point (x,y) and the circle, y = sin 315°, x = cos 315° and tan 315° = sin 315°/cos 315°.

Note that you can locate many terms including the tangent315° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan315°.

Along the same lines, using the aforementioned form, can you look up terms such as tan 315° value, tan 315, tan315° value and what is the tan of 315 degrees, just to name a few.

Given the periodicity of tangent of 315°, to determine the tangent of an angle > 180°, e.g. 1035°, calculate tan 1035° as tan (1035 Mod 180)° = tangent of 315°, or look it up with our form.

The frequently asked questions in the context include what is tan 315 degrees and what is the tan of 315 degrees for example; reading our content they are no-brainers.

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