Knowledge Builders

what is the exact value of sec 30 degrees

by Claudine Kerluke Published 3 years ago Updated 2 years ago
image

2/√3

How do you find the exact value of sec 30 degrees?

For sec 30 degrees, the angle 30° lies between 0° and 90° (First Quadrant). Since secant function is positive in the first quadrant, thus sec 30° value = 2/√3 or 1.1547005. . . Since the secant function is a periodic function, we can represent sec 30° as, sec 30 degrees = sec(30° + n × 360°), n ∈ Z.

What is the value of s 30?

Sine 30 Degrees Value The exact value of sin 30 degrees is ½. To define the sine function of an angle, start with a right-angled triangle ABC with the angle of interest and the sides of a triangle.

What is the value of sec (- 30 )?

The exact value of sec(30) is 2√3 .

What is the exact value CSC 30?

Trigonometry Examples The exact value of csc(30°) csc ( 30 ° ) is 2 .

How do you find sin 30 degrees without a calculator?

0:362:24Exact values of sin(30), cos(30), tan(30), csc(30), sec(30), cot(30)YouTubeStart of suggested clipEnd of suggested clipThe angle is here right 30 degrees you can just go ahead and do the usual business sine of 30MoreThe angle is here right 30 degrees you can just go ahead and do the usual business sine of 30 degrees is the opposite in this case will be 1. Right the opposite over the hypotenuse which is 2.

What is the exact value of sec 45?

√2Sec 45 degrees is the value of secant trigonometric function for an angle equal to 45 degrees. The value of sec 45° is √2 or 1.4142 (approx).

How do you find sec value?

The sec of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the adjacent side. Secant can be easily replaced by cos x using the formula, sec x = 1 / cos x.

What is the exact value of sec 60?

2The value of sec 60 degrees is equal to 2.

What is the value of sec 60?

Sec 60 degrees is the value of secant trigonometric function for an angle equal to 60 degrees. The value of sec 60° is 2.

What is the exact value of sec 45 degree Brainly?

Trigonometry Examples The exact value of sec(45) is 2√2 .

What is sin60 value?

Therefore, the exact value of sin 60 degrees is √3/2.

What is the value of sec 60?

2The value of sec 60 degrees is 2. The trigonometric functions are generally defined as an angle function that involves the study of triangles and relates the angles of a triangle and the dimension of the triangles.

How do you find sec value?

The sec of an angle in a right triangle is the ratio of the length of the hypotenuse to the length of the adjacent side. Secant can be easily replaced by cos x using the formula, sec x = 1 / cos x.

What is the value tan 60?

1.7321Value of Tan 60° It is reciprocal of cot 60 degrees. The approximate value of the tangent of angle 60 degrees is equal to 1.7321.

What is the Value of Sec 30 Degrees?

The value of sec 30 degrees in decimal is 1.154700538. . .. Sec 30 degrees can also be expressed using the equivalent of the given angle (30 degrees) in radians (0.52359 . . .)

Methods to Find Value of Sec 30 Degrees

The secant function is positive in the 1st quadrant. The value of sec 30° is given as 1.15470. . .. We can find the value of sec 30 degrees by:

Examples Using Sec 30 Degrees

Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

FAQs on Sec 30 Degrees

Sec 30 degrees is the value of secant trigonometric function for an angle equal to 30 degrees. The value of sec 30° is 2/√3 or 1.1547 (approx).

What is the formula for sec 30°?

The formula to find sec of an angle is the ratio of hypotenuse and adjacent side of the angle.

What is secant function?

Secant function is the transpose of the cosine function. Therefore, to find the value of sec 30, we have to find the value of cos 30. We take the reference of a right-angle triangle to get the values of trigonometric functions or ratios such as sin, cos, tan, sec, cot, csc.

What is the secant of a right angled triangle?

We know that, in a right-angled triangle, the secant of ∠α is a ratio of the length of the hypotenuse and the adjacent side to the angle, where ∠α is the angle formed between the adjacent side and the hypotenuse.

What is the difference between sec 30 and cos 30?

The value of sec 30 and cos 30 is different. Sec 30 = 2/√3 and Cos 30 = √3/2

What is Sec 30 degrees?

The value of Sec 30 degrees is equal to 2/√3. In trigonometry, you may have learned about three main primary functions, such as sine, cosine and tangent along with them the other three trigonometric functions, such as secant, cotangent and cosecant. Here, you will find the value of sec 30 degrees along with the other secant degree values.

How to Find Sec 30 Degrees?

The concept of trigonometric ratios of standard angles help in finding the value of sec 30 degrees. To find the trigonometric ratios of the standard angle 300, an equilateral triangle is constructed with side ‘a’. The altitude of the triangle is drawn to one of its sides from the opposite vertex as shown in the figure below.

How to find secant of any angle?

Secant of any angle is described as a quotient obtained by dividing the hypotenuse of the right triangle by the side adjacent to the angle whose secant is to be determined. Secant of any angle is the transpose or the reciprocal of its cosine. So, secant and cosine of an angle can be related as: .

What are the two basic trigonometric functions?

It establishes the relationship between the sides and angles of a right triangle. The two basic trigonometric ratios are sine and cosine of an angle . All the other four trigonometric ratios can be defined with these two basic trigonometric functions. In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. If any of the other two angles except right angle is considered to be the reference angle, then the side that is adjacent to the reference angle is called the adjacent side or the base and the side opposite to the reference angle is called the opposite side or the perpendicular. Secant of an angle is defined as the ratio of hypotenuse and the adjacent side of the reference angle.

What is the side opposite to the right angle called?

In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. If any of the other two angles except right angle is considered to be the reference angle, then the side that is adjacent to the reference angle is called the adjacent side or the base and the side opposite to the reference angle is called ...

What is the secant of angle thirty degrees?

The secant of angle thirty degrees is written as the secant of quotient of pi by six radian in circular system. It is mathematically written as sec#N#⁡#N#( π 6) in mathematics.

What is the secant of a right triangle?

The secant of angle thirty degrees is a value that represents the ratio of lengths of hypotenuse to adjacent side when the angle of a right triangle is thirty degrees.

What is the secant of degrees?

Centesimal system. The secant thirty degrees is also written as the secant of angle thirty three and one third grades. It is written in mathematical form as sec. ( 33 1 3 g) in Centesimal system.

image

1.Find the Exact Value sec(30 degrees ) | Mathway

Url:https://www.mathway.com/popular-problems/Trigonometry/300017

2 hours ago Find the Exact Value sec(30 degrees ) Step 1. The exact value of is . Step 2. Multiply by . Step 3. Combine and simplify the denominator. Tap for more steps... Multiply by . Raise to the power …

2.Sec 30 Degrees - Find Value of sec 30 Degrees | Sec 30°

Url:https://www.cuemath.com/trigonometry/sec-30-degrees/

6 hours ago What is Sec 30 Degrees? Sec 30 degrees is the value of secant trigonometric function for an angle equal to 30 degrees. The value of sec 30° is 2/√3 or 1.1547 (approx). What is the Value of …

3.What is the exact value of sec 30 degrees? | Socratic

Url:https://socratic.org/questions/what-is-the-exact-value-of-sec-30-degrees

21 hours ago Find the Exact Value sec(30) Step 1. The exact value of is . Step 2. Multiply by . Step 3. Combine and simplify the denominator. Tap for more steps... Multiply by . Raise to the power of . Raise …

4.Find the Exact Value sec(30) | Mathway

Url:https://www.mathway.com/popular-problems/Trigonometry/300144

21 hours ago Question 2) Find the value of Sec-1 (Sec 300) and Sec (Sec-1 √3/2) Solution: Sec 30 degree value =. 3 2. Secant and inverse secant are inverse operations with respect to each other. So, Sec-1 …

5.Sec 30 Degree - Calculation, Derivation, Solved Examples …

Url:https://www.vedantu.com/maths/sec-30-degrees

36 hours ago In Sexagesimal system, the secant of angle thirty degrees is written as sec ( 30 °). Its exact value is equal to quotient of two by square root of three. It is an irrational number and written in the …

6.sec(30°) value | sec(π/6) value - Math Doubts

Url:https://www.mathdoubts.com/sec-30-degrees/

7 hours ago The exact value of sec(30°) sec ( 30 ° ) is 2√3. Multiply 2√3 by √3√3 . Combine and simplify the denominator. Multiply 2√3 2 3 and √3√3 3 3 . What is value of tan30? Tan 30 degree is equal to …

7.SOLUTION: what is the exact value of sec 30 degrees …

Url:https://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.648728.html

8 hours ago what is the exact value of sec 30 degrees without using a caculator.-----Are you allowed to know that? sec = 1/cos =

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9