Knowledge Builders

what are the exact values of the six trigonometric functions for pi 6 radians

by Audrey Huel PhD Published 2 years ago Updated 2 years ago
image

sin(π 6) = 1 2 xxxxcsc(π 6) = 2 cos(π 6) = √3 2 xxxsec(π 6) = 2 √3 tan(π 6) = 1 √3 xxxcot(π 6) = √3

1 Answer
  • sin(π6)=12csc(π6)=2.
  • cos(π6)=√32sec(π6)=2√3.
  • tan(π6)=1√3cot(π6)=√3.
Apr 13, 2018

Full Answer

What is the exact value of SEC (π 6)?

The exact value of sec(π 6) sec ( π 6) is 2 √3 2 3. Multiply 2 √3 2 3 by √3 √3 3 3. Combine and simplify the denominator.

What is the value of cot pi/6?

Cot pi/6 is the value of cotangent trigonometric function for an angle equal to π/6 radians. The value of cot pi/6 is √3 or 1.7321 (approx).

How do you find cot pi/6 radians in degrees?

Cot pi/6 radians in degrees is written as cot ( (π/6) × 180°/π), i.e., cot (30°). In this article, we will discuss the methods to find the value of cot pi/6 with examples. Cot pi/6 in decimal: 1.7320508. . .

What are the trigonometric functions used to calculate?

This online trigonometry calculator will calculate the sine, cosine, tangent, cotangent, secant and cosecant of values entered in π radians. The trigonometric functions are also known as the circular functions. To calculate these functions in terms of degrees or radians use Trigonometric Functions Calculator ƒ (x) .

image

What is the value of π 6 in trigonometry?

What is the Value of Sin pi/6? The value of sin pi/6 in decimal is 0.5. Sin pi/6 can also be expressed using the equivalent of the given angle (pi/6) in degrees (30°).

What is the function value of pi 6?

Trigonometry Examples The exact value of sec(π6) sec ( π 6 ) is 2√3 .

How do you find the exact value of the 6 trigonometric functions?

2:449:04Evaluate the Six Trigonometric Functions of the Angle - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo tangent we have opposite that's a cross adjacent. That's next to the angle. So that's gonna beMoreSo tangent we have opposite that's a cross adjacent. That's next to the angle. So that's gonna be three over four. And then the cotangent we're just gonna take the reciprocal. So that's 4/3.

What are the 6 trigonometric values?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

What is the exact value of sin pi 6 radians?

0:000:23sin pi/6 find the exact value - YouTubeYouTubeStart of suggested clipEnd of suggested clipAll right so I got the sine of PI over 6 PI over 6. This. So this is 1 this is root 3 and this is 2MoreAll right so I got the sine of PI over 6 PI over 6. This. So this is 1 this is root 3 and this is 2 sine of theta is equal to Y over R. In this case it's going to be 1 over 2 or 30 degrees so they

What is the reference angle of π 6?

Reference angle for 330°: 30° (π / 6)

Why there are only 6 trigonometric functions?

There are only 6 trigonometric ratios because only 6 ratios can define ratios of all sides. For example, If you want ratio between perpendicular and hypotenuse there is sin. If you want ratio between perpendicular and base there is tan.

What is the function of pi?

Pi is the ratio of a circle's circumference to its diameter. As yawn-inducing as that may sound, it's an important ratio because pi is the same no matter the size of the circle. This magical ratio, pi, is true for the circle describing the tire of an automobile or a circle going around the entire Earth.

What is the value of pi in function?

The value of Pi (π) is the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14159.

What is the derivative of pi 6?

Since π6 is constant with respect to , the derivative of π6 with respect to is 0 .

What is the function of π?

What is pi used for? In basic mathematics, pi is used to find the area and circumference of a circle. Pi can be used to find an area by multiplying the radius of the circle squared times pi. So, to find the area of a circle with a radius of 3 centimeters, the calculation would be π3^2 = 28.27 cm.

How many measures does a quarter note equal?

1. In some music, a whole note equals one measure, a quarter note equals , of one measure, and an eighth note equals of one measure. If one measure ha …

How many miles is 1 in?

If the scale on a map shows 1 in. = 100 mi., and you determine that two cities are 5.5 in. apart, how many actual miles is this? Question 11 options: …

What does Aran give Jon?

Aran has a fruit roll-up for a snack. He gives half of it to Jon. Jon then gives Kiona of 1/3 his part. How much of the fruit roll-up does each person …

Is -7pi/6 a negative angle?

For -7pi/6 is an angle in second quadrant, then sine and cosecant must be positive; and cosine, secant, tangent and cotangent must me negative.

image

1.What are the six trig function values of pi/6? | Socratic

Url:https://socratic.org/questions/what-are-the-six-trig-function-values-of-pi-6-1

18 hours ago  · We want to find the six trigonometric functions for -7π/6 radians. It should be noted that; 7π/6 radians = -210° degree = -210 +360 = 150° = 5π/6. From the definition of unit circle …

2.What are the exact values of the six trigonometric …

Url:https://brainly.com/question/27507021

15 hours ago tan (π/6) = sin (π/6)/cos (π/6) = (1/2)/ (√3/2) = 1/√3. ⇒ tan (π/6) = 1/√3. csc (π/6). Using the reciprocal identity csc (π/6) = 1/sin (π/6). csc (π/6) = 1/ (1/2) = 2. ⇒ csc (π/6) = 2. sec (π/6). …

3.What are the exact values of the six trigonometric …

Url:https://brainly.com/question/9723977

27 hours ago Why is sin pi 6? In this case, π6 refers to the angle in radians, an alternate unit of measurement for angles ( π rad = 180°). The point on the unit circle that is intersected by this line is ( √32 , 12 …

4.Find the Exact Value sec(pi/6) | Mathway

Url:https://www.mathway.com/popular-problems/Trigonometry/300169

8 hours ago sec( π 6) sec ( π 6) The exact value of sec(π 6) sec ( π 6) is 2 √3 2 3. 2 √3 2 3 Multiply 2 √3 2 3 by √3 √3 3 3. 2 √3 ⋅ √3 √3 2 3 ⋅ 3 3 Combine and simplify the denominator. Tap for more steps...

5.What are the six trig function values of (7pi)/6? | Socratic

Url:https://socratic.org/questions/what-are-the-six-trig-function-values-of-7pi-6

21 hours ago  · cos(7π) 6 = cos( π 6 + π) = − cosπ 6 = − √3 2. tanπ 6 = sin cos = 1 √3 = √3 3. cot = 1 tan = √3. sec = 1 cos = − 2 √3 = −2 √3 3. csc = 1 sin = − 2. Answer link.

6.Find Six Trig Function Values Using Reference Triangles

Url:https://www.youtube.com/watch?v=9fIzgQkPloA

24 hours ago  · This video explains how to determine all six trigonometric function values using a 30-60-90 reference triangle for -7pi/6 radians. mathispower4u.com

7.Trigonometric Functions Calculator ƒ(π)

Url:https://www.calculatorsoup.com/calculators/trigonometry/trigonometricfunctions-pi.php

31 hours ago ⇒ pi/6 radians = pi/6 × (180°/pi) = 30° or 30 degrees ∴ cot pi/6 = cot π/6 = cot(30°) = √3 or 1.7320508. . . Explanation: For cot pi/6, the angle pi/6 lies between 0 and pi/2 (First Quadrant). …

8.Cot pi/6 - Find Value of Cot pi/6 | Cot π/6 - Cuemath

Url:https://www.cuemath.com/trigonometry/cot-pi-6/

10 hours ago

9.Videos of What Are The exact Values of The six Trigonometric fun…

Url:/videos/search?q=what+are+the+exact+values+of+the+six+trigonometric+functions+for+pi+6+radians&qpvt=what+are+the+exact+values+of+the+six+trigonometric+functions+for+pi+6+radians&FORM=VDRE

9 hours ago

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