Cos 43 Degrees

The value of cos 43 degrees is 0.7313537. . .. Cos 43 degrees in radians is written as cos (43° × π/180°), i.e., cos (0.750491. . .). In this article, we will discuss the methods to find the value of cos 43 degrees with examples.

• Cos 43°: 0.7313537. . .
• Cos (-43 degrees): 0.7313537. . .
• Cos 43° in radians: cos (0.7504915 . . .)

What is the Value of Cos 43 Degrees?

The value of cos 43 degrees in decimal is 0.731353701. . .. Cos 43 degrees can also be expressed using the equivalent of the given angle (43 degrees) in radians (0.75049 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 43 degrees = 43° × (π/180°) rad = 0.7504 . . .
∴ cos 43° = cos(0.7504) = 0.7313537. . .

Explanation:

For cos 43 degrees, the angle 43° lies between 0° and 90° (First Quadrant). Since cosine function is positive in the first quadrant, thus cos 43° value = 0.7313537. . .
Since the cosine function is a periodic function, we can represent cos 43° as, cos 43 degrees = cos(43° + n × 360°), n ∈ Z.
⇒ cos 43° = cos 403° = cos 763°, and so on.
Note: Since, cosine is an even function, the value of cos(-43°) = cos(43°).

Methods to Find Value of Cos 43 Degrees

The cosine function is positive in the 1st quadrant. The value of cos 43° is given as 0.73135. . .. We can find the value of cos 43 degrees by:

• Using Unit Circle
• Using Trigonometric Functions

Cos 43 Degrees Using Unit Circle

To find the value of cos 43 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 43° angle with the positive x-axis.
• The cos of 43 degrees equals the x-coordinate(0.7314) of the point of intersection (0.7314, 0.682) of unit circle and r.

Hence the value of cos 43° = x = 0.7314 (approx)

Cos 43° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cos 43 degrees as:

• ± √(1-sin²(43°))
• ± 1/√(1 + tan²(43°))
• ± cot 43°/√(1 + cot²(43°))
• ±√(cosec²(43°) - 1)/cosec 43°
• 1/sec 43°

Note: Since 43° lies in the 1st Quadrant, the final value of cos 43° will be positive.

We can use trigonometric identities to represent cos 43° as,

• -cos(180° - 43°) = -cos 137°
• -cos(180° + 43°) = -cos 223°
• sin(90° + 43°) = sin 133°
• sin(90° - 43°) = sin 47°

☛ Also Check:

• cos 240 degrees
• cos 1 degrees
• cos 90 degrees
• cos 27 degrees
• cos 405 degrees
• cos 244 degrees

FAQs on Cos 43 Degrees

What is Cos 43 Degrees?

Cos 43 degrees is the value of cosine trigonometric function for an angle equal to 43 degrees. The value of cos 43° is 0.7314 (approx)

What is the Value of Cos 43° in Terms of Sec 43°?

Since the secant function is the reciprocal of the cosine function, we can write cos 43° as 1/sec(43°). The value of sec 43° is equal to 1.367327.

How to Find Cos 43° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cos 43° can be given in terms of other trigonometric functions as:

• ± √(1-sin²(43°))
• ± 1/√(1 + tan²(43°))
• ± cot 43°/√(1 + cot²(43°))
• ± √(cosec²(43°) - 1)/cosec 43°
• 1/sec 43°

☛ Also check: trigonometric table

How to Find the Value of Cos 43 Degrees?

The value of cos 43 degrees can be calculated by constructing an angle of 43° with the x-axis, and then finding the coordinates of the corresponding point (0.7314, 0.682) on the unit circle. The value of cos 43° is equal to the x-coordinate (0.7314). ∴ cos 43° = 0.7314.

What is the Value of Cos 43 Degrees in Terms of Sin 43°?

Using trigonometric identities, we can write cos 43° in terms of sin 43° as, cos(43°) = √(1 - sin²(43°)). Here, the value of sin 43° is equal to 0.682.