Cos 140 Cos 100 Cos 20

Cos 140 Cos 100 Cos 20

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– Cos 140 Cos 100 Cos 20.

Cos 140 Degrees

The value of
cos 140 degrees is -0.7660444. . .. Cos 140 degrees in radians is written as cos (140° × π/180°), i.e., cos (7π/9) or cos (2.443460. . .). In this article, we will hash out the methods to find the value of cos 140 degrees with examples.

  • Cos 140°:

    -0.7660444. . .
  • Cos (-140 degrees):

    -0.7660444. . .
  • Cos 140° in radians:


    cos (7π/9) or cos (2.4434609 . . .)

What is the Value of Cos 140 Degrees?

The value of cos 140 degrees in decimal is -0.766044443. . .. Cos 140 degrees tin can also exist expressed using the equivalent of the given angle (140 degrees) in radians (ii.44346 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 140 degrees = 140° × (π/180°) rad = 7π/nine or two.4434 . . .
∴ cos 140° = cos(ii.4434) = -0.7660444. . .

Explanation:

For cos 140 degrees, the angle 140° lies betwixt 90° and 180° (Second Quadrant). Since cosine function is negative in the 2nd quadrant, thus cos 140° value = -0.7660444. . .
Since the cosine office is a periodic function, we can represent cos 140° as, cos 140 degrees = cos(140° + northward × 360°), n ∈ Z.
⇒ cos 140° = cos 500° = cos 860°, then on.
Note:

Since, cosine is an even part, the value of cos(-140°) = cos(140°).

Methods to Discover Value of Cos 140 Degrees

The cosine function is negative in the 2nd quadrant. The value of cos 140° is given equally -0.76604. . .. We can discover the value of cos 140 degrees past:

  • Using Unit Circle
  • Using Trigonometric Functions
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Cos 140 Degrees Using Unit Circle

value of cos 140

To discover the value of cos 140 degrees using the unit circumvolve:

  • Rotate ‘r’ anticlockwise to grade 140° angle with the positive x-centrality.
  • The cos of 140 degrees equals the x-coordinate(-0.766) of the betoken of intersection (-0.766, 0.6428) of unit of measurement circle and r.

Hence the value of cos 140° = x = -0.766 (approx)

Cos 140° in Terms of Trigonometric Functions

Using trigonometry formulas, nosotros tin can correspond the cos 140 degrees equally:

  • ± √(1-sin²(140°))
  • ± 1/√(1 + tan²(140°))
  • ± cot 140°/√(1 + cot²(140°))
  • ±√(cosec²(140°) – 1)/cosec 140°
  • 1/sec 140°

Note: Since 140° lies in the second Quadrant, the terminal value of cos 140° will be negative.

We tin use trigonometric identities to represent cos 140° equally,

  • -cos(180° – 140°) = -cos 40°
  • -cos(180° + 140°) = -cos 320°
  • sin(xc° + 140°) = sin 230°
  • sin(xc° – 140°) = sin(-50°)

☛ Also Check:

  • cos 18 degrees
  • cos 30 degrees
  • cos 45 degrees
  • cos 200 degrees
  • cos 720 degrees
  • cos 155 degrees

FAQs on Cos 140 Degrees

What is Cos 140 Degrees?

Cos 140 degrees is the value of cosine trigonometric function for an angle equal to 140 degrees.




The value of cos 140° is -0.766 (approx)


How to Detect Cos 140° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cos 140° tin can exist given in terms of other trigonometric functions as:

  • ± √(one-sin²(140°))
  • ± 1/√(i + tan²(140°))
  • ± cot 140°/√(1 + cot²(140°))
  • ± √(cosec²(140°) – 1)/cosec 140°
  • 1/sec 140°

☛ Also bank check: trigonometric table

How to Detect the Value of Cos 140 Degrees?

The value of cos 140 degrees tin be calculated by constructing an bending of 140° with the 10-axis, so finding the coordinates of the respective point (-0.766, 0.6428) on the unit of measurement circumvolve. The value of cos 140° is equal to the 10-coordinate (-0.766). ∴ cos 140° = -0.766.

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What is the Value of Cos 140° in Terms of Cosec 140°?

Since the cosine function tin can be represented using the cosecant function, we can write cos 140° as -[√(cosec²(140°) – i)/cosec 140°]. The value of cosec 140° is equal to 1.55572.

What is the Value of Cos 140 Degrees in Terms of Sin 140°?

Using trigonometric identities, nosotros can write cos 140° in terms of sin 140° as, cos(140°) = -√(ane – sin²(140°)). Here, the value of sin 140° is equal to 0.6428.

Cos 140 Cos 100 Cos 20

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