# 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 (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. . .

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

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/