## What is the value of Cos 135 Degrees?

**Explanation: **

## Methods to find Value of Cos 135 Degrees

Using Unit CircleUsing Trigonometric Functions## Cos 135 degrees Using Unit Circle

To uncover the worth of cos 135 levels using the unit circle:

Rotate ‘r’ anticlockwise to kind 135° angle with the confident x-axis.The cos the 135 degrees equals the x-coordinate(-0.7071) that the suggest of intersection (-0.7071, 0.7071) of unit circle and also r.You are watching: Find the exact value of cos 135

Hence the worth of cos 135° = x = -0.7071 (approx)

## Cos 135° in terms of Trigonometric Functions

Using trigonometry formulas, we have the right to represent the cos 135 levels as:

± √(1-sin²(135°))± 1/√(1 + tan²(135°))± cot 135°/√(1 + cot²(135°))±√(cosec²(135°) - 1)/cosec 135°1/sec 135°Note: because 135° lies in the second Quadrant, the final value the cos 135° will certainly be negative.

We can use trigonometric identities to represent cos 135° as,

-cos(180° - 135°) = -cos 45°-cos(180° + 135°) = -cos 315°sin(90° + 135°) = sin 225°sin(90° - 135°) = sin(-45°)**☛ likewise Check: **

## FAQs on Cos 135 Degrees

### What is Cos 135 Degrees?

Cos 135 degrees is the value of cosine trigonometric role for one angle equal to 135 degrees. ** The worth of cos 135° is −(1/√2) or -0.7071 (approx) **

### How to find Cos 135° in terms of various other Trigonometric Functions?

Using trigonometry formula, the worth of cos 135° can be provided in state of various other trigonometric features as:

± √(1-sin²(135°))± 1/√(1 + tan²(135°))± cot 135°/√(1 + cot²(135°))± √(cosec²(135°) - 1)/cosec 135°1/sec 135°☛ additionally check: trigonometric table

### How to find the value of Cos 135 Degrees?

The value of cos 135 levels can be calculated by constructing an edge of 135° with the x-axis, and then recognize the works with of the corresponding point (-0.7071, 0.7071) top top the unit circle. The worth of cos 135° is equal to the x-coordinate (-0.7071). ∴ cos 135° = -0.7071.

### What is the worth of Cos 135 levels in terms of Sin 135°?

Using trigonometric identities, we have the right to write cos 135° in regards to sin 135° as, cos(135°) = -√(1 - sin²(135°)). Here, the worth of sin 135° is equal to 1/√2.

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### What is the value of Cos 135° in terms of Cosec 135°?

Since the cosine duty can be represented using the cosecant function, we can write cos 135° together -<√(cosec²(135°) - 1)/cosec 135°>. The worth of cosec 135° is equal to 1.41421.