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.

See more: How Many Words Are 2000 Characters Is How Many Pages Is 2000 Characters?

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.