Cos 150 Derajat

Cos 150 Derajat

Cos 150 Degrees

The value of
cos 150 degrees is -0.8660254. . .. Cos 150 degrees in radians is written as cos (150° × π/180°), i.e., cos (5π/6) or cos (two.617993. . .). In this commodity, we will discuss the methods to find the value of cos 150 degrees with examples.

  • Cos 150°:
    -0.8660254. . .
  • Cos 150° in fraction:
    −√3/ii
  • Cos (-150 degrees):
    -0.8660254. . .
  • Cos 150° in radians:

    cos (5π/6) or cos (ii.6179938 . . .)

What is the Value of Cos 150 Degrees?

The value of cos 150 degrees in decimal is -0.866025403. . .. Cos 150 degrees can also be expressed using the equivalent of the given bending (150 degrees) in radians (2.61799 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 150 degrees = 150° × (π/180°) rad = 5π/6 or 2.6179 . . .
∴ cos 150° = cos(2.6179) = −√3/2 or -0.8660254. . .

Cos 150 Degrees

Caption:

For cos 150 degrees, the angle 150° lies between ninety° and 180° (2d Quadrant). Since cosine function is negative in the second quadrant, thus cos 150° value = −√three/2 or -0.8660254. . .
Since the cosine function is a periodic function, we can stand for cos 150° as, cos 150 degrees = cos(150° + n × 360°), n ∈ Z.
⇒ cos 150° = cos 510° = cos 870°, and then on.
Annotation:
Since, cosine is an even function, the value of cos(-150°) = cos(150°).

Methods to Detect Value of Cos 150 Degrees

The cosine office is negative in the 2d quadrant. The value of cos 150° is given equally -0.86602. . .. Nosotros can find the value of cos 150 degrees by:

  • Using Trigonometric Functions
  • Using Unit Circumvolve
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Cos 150° in Terms of Trigonometric Functions

Using trigonometry formulas, we tin can correspond the cos 150 degrees every bit:

  • ± √(i-sin²(150°))
  • ± 1/√(ane + tan²(150°))
  • ± cot 150°/√(1 + cot²(150°))
  • ±√(cosec²(150°) – one)/cosec 150°
  • one/sec 150°

Notation: Since 150° lies in the 2nd Quadrant, the last value of cos 150° will be negative.

We can apply trigonometric identities to represent cos 150° equally,

  • -cos(180° – 150°) = -cos xxx°
  • -cos(180° + 150°) = -cos 330°
  • sin(xc° + 150°) = sin 240°
  • sin(xc° – 150°) = sin(-60°)

Cos 150 Degrees Using Unit Circle

value of cos 150

To detect the value of cos 150 degrees using the unit of measurement circle:

  • Rotate ‘r’ anticlockwise to form 150° angle with the positive x-axis.
  • The cos of 150 degrees equals the x-coordinate(-0.866) of the bespeak of intersection (-0.866, 0.5) of unit of measurement circle and r.

Hence the value of cos 150° = x = -0.866 (approx)

☛ Besides Check:

  • cos 60 degrees
  • cos 53 degrees
  • cos 120 degrees
  • cos 69 degrees
  • cos 720 degrees
  • cos 24 degrees

FAQs on Cos 150 Degrees

What is Cos 150 Degrees?

Cos 150 degrees is the value of cosine trigonometric function for an bending equal to 150 degrees.


The value of cos 150° is −√iii/2 or -0.866 (approx)

What is the Value of Cos 150 Degrees in Terms of Tan 150°?

We know, using trig identities, we tin can write cos 150° equally -1/√(i + tan²(150°)). Hither, the value of tan 150° is equal to -0.577350.

What is the Value of Cos 150° in Terms of Cosec 150°?

Since the cosine function tin be represented using the cosecant function, nosotros can write cos 150° as -[√(cosec²(150°) – one)/cosec 150°]. The value of cosec 150° is equal to 2.

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How to Find the Value of Cos 150 Degrees?

The value of cos 150 degrees tin can exist calculated by constructing an angle of 150° with the ten-axis, and so finding the coordinates of the respective point (-0.866, 0.five) on the unit of measurement circle. The value of cos 150° is equal to the x-coordinate (-0.866). ∴ cos 150° = -0.866.

How to Find Cos 150° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cos 150° can be given in terms of other trigonometric functions every bit:

  • ± √(ane-sin²(150°))
  • ± one/√(1 + tan²(150°))
  • ± cot 150°/√(i + cot²(150°))
  • ± √(cosec²(150°) – i)/cosec 150°
  • 1/sec 150°

☛ Also check: trigonometric table

Cos 150 Derajat

Source: https://www.cuemath.com/trigonometry/cos-150-degrees/