Find the Exact Value cos(315 degrees ) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant . 405 degrees is 360 + 45, so sin(405) = sin(45)-690 degrees is -(720 - 30) 1 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Let the cube roots of 27(cos 330° + i sin 330°) be a, b, c. a = 3[cos 110° + i sin 110°] ~ - 1.0260 + 2.8190 i. a, b, c are equally spaced around 360° so they are 120° apart. 5 Answers. 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How do you use the ordered pairs on a unit circle to evaluate a trigonometric function of any angle? The answer is as follows: Cos(330) = 0.866025403784 This is the same answer you will get if you have a scientific calculator set to DEG mode and then enter 330 followed by the Cos button. cos(330º) = cos(360º −30º) = cos(360º)cos(30º) +sin(360º)sin(30º) The cosine, sine, tangent and secant of 360º equal the cosine, sine, tangent and secant of 0º respectively. The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360°. The cosine of a 90-degree angle is equal to zero, since in order to calculate it we would need a triangle with two 90-degree angles, which is the definition of a straight line. The method to convert a negative degree into radian is same as we have done for positive degrees. 9 years ago. Make the expressionnegative because cotangentis negative in the fourth quadrant. Cot 330. How do you find the trigonometric functions of values that are greater than #360^@#? cot(330)=1/tan(330) 330 lies i Cos 120 degree is equal to minus half which can be written as (- ½ ) or (-0.5). Get your answers by asking now. Trending Questions. 0 0. cidyah. How to solve: If cos 330 degrees = sqrt(3)/2, show how to calculate (without using calculator) two possible answers for cos 165 degrees. Also, -30 and 30 has the same cos because cos represents the horizontal length of the x-axis (between -1 to 1) So, cos 330 = sqrt(3)/2 The result can be shown in multipleforms. I would say 330 is actually = -30 right? Plugging the angle value, in degrees, in the previous formula, we get: α rad = π × 330 /180 = . √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle. Mathematics. How do you find the trigonometric functions of any angle? I used alpha and beta formula cos (alpha - beta) to simplify. Équation avec cosinus; Le calculateur dispose d'un solveur qui lui permet de résoudre une équation avec un cosinus de la forme cos(x)=a. Lv 7. the exact value of cos(-330 degrees) is? (b) 1/2. Solution Let's first ascertain in which quadrant those angles lie. Source(s): Knowledge. Cos 30. Unit Circle Trigonometry - Sin Cos Tan - Radians & Degrees - Duration: 59:26. To find cos of another number, please enter the number below and press "Calculate Cos". Determine angle type: 330 is an obtuse angle since it is greater than 90° cos(330) = √ 3 /2 Select degrees or radians in the drop down box and calculate the exact cos 330° value easily. How do you find the value of #cot 300^@#? Make the expression negative because sine is negative in the fourth quadrant . LOGIN TO VIEW ANSWER. Listed here all the trig functions to calculate the sine, cosine, tangent, secant, cosecant and cotangent values for 330° degrees. As mentioned in the solution given below, 120° can be represented in terms of two angles i.e. cos(-330) = cos(30) = sqrt(3)/2. How hard is calculus ? How do you show that #(costheta)(sectheta) = 1# if #theta=pi/4#? Related Questions in Mathematics. Here we answer one simple question: What is cos (330) degrees? π × 330÷30/180÷30 = 11π/6 radians, when reduced to lowest terms.. cos (30°)=√3/2. Find the height h of the parallelogram. Also, -30 and 30 has the same cos because cos represents the horizontal length of the x-axis (between -1 to 1), The reference angle is 30 degrees, in quadrant 4. First, we know that #sin 330# will be in the 4th quadrant, as it lies between #270# and #360# degrees.. Second, we know that when we add or subtract degrees from x in #sin x, cos x#, and #tan x# from 360 and 180, the trigonometric ratios stay the same, however, if we add/subtract degrees from x from #90# or #270# degrees, we turn the ratio to it's opposite: sin becomes cos, cos becomes … Submit your answer. However, they are all linked to the angle in the first quadrant. Use our cos(x) calculator to find the exact value of cosine of 330 degrees as a fraction or the cosine of any angle in degrees and in radians. What is the reference angle for #140^\circ#? Cos is one of the functions of Trigonometry that deals with the relationship between the angles and sides of a right-angled triangle. Sin and cos values from 0 to 360 degrees. Cos 30° = √3/2 is an irrational number and equals to 0.8660254037 (decimal form). Still have questions? 59:26. You can draw it. Note: 11π/6 rad can be expressed as a decimal (not a fraction) as 1.8333333333333π rad = 5.7595865315813 radians. Find the Exact Value cot(330 degrees ) Apply the reference angleby finding the anglewith equivalenttrig values in the first quadrant. The exact value of is . Join Yahoo Answers and get 100 points today. what is the answer to (-2) to the 0 power? Cos 330° Value in Radians / Degrees | Cos Values for 330° Use this simple cos calculator to calculate the cos value for 330° in radians / degrees. Find [5(cos 330 degrees + I sin 330 degrees)]^3. All angles when subtracted by multiple of 180° or (π) the function remain same . Thank you. 10 years ago. (a) - square root 3 / 2. The exact value of is . Example 4: Convert 330 degrees to radians. Answer Save. Ask Question + 100. Regards - Ian. Asked By adminstaff @ 03/01/2020 11:43 PM. Cosine is positive in Q4, but Cosecant and Cotangent are negative: cos(30) = sqrt(3) / 2 Positive in Q4 cos(30) = sqrt(3) / 2 csc(30) = 1/sin(30) = 1/(1/2) = 2 BUT it's in quadrant 4, and cosecant is negative in quadrant 4: csc(30) = -2 cot(30) = 1 / tan(30) = 1 / (sqrt(3) / 3) = 3 / (sqrt(3)) = sqrt(3) BUT it's in quadrant 4, and cotangent is negative in quadrant 4: cot(30) = -sqrt(3) Here's all of them again: cos(30) = sqrt(3) / 2 csc(30) = -2 cot(30) = -sqrt(3), COS(330) is 0.866025404 (thats with my calc in degress) equal to (SQRT3)/2, I didn't know exactly if you meant 330 or 30. hope it helps :), the square root of 3 divided by 2 positive. Still have questions? 24 answers . Raffaele . Author: Peter22. Remember that #cos(a-b) = cos(a)cos(b) + sin(a)sin(b)# and that #330º = 360º - 30º#, so, #cos(330º) = cos(360º - 30º) = cos(360º)cos(30º) + sin(360º)sin(30º)#, The cosine, sine, tangent and secant of 360º equal the cosine, sine, tangent and secant of 0º respectively. either 90° or 180°. Get your answers by asking now. 10 years ago. How to solve: Find the exact value of cos 330 degrees. Trending Questions. Favorite Answer. `(cos(a))^2=(1+cos(2a))/2` `(sin(a))^2=(1-cos(2a))/2` Toutes ces formules trigonométriques jouent un rôle important dans la résolution des problèmes d'analyse. around the world. Tan values are positive in the #1st and 3rd# quadrants and negative in the #2nd and 4th# quadrants.. 3x - 5y = 60 4x + 5y = - 4? Topic: Cosine, Sine, Trigonometry, Unit Circle cube roots of 27(cos 330° + i sin 330°) are three. 13 answers. Relevance. How do you use the reference angles to find #sin210cos330-tan 135#? 180° – 60° = 120° ———– (1) Calculate cos(330)° Determine quadrant: Since our angle is greater than 270 and less than or equal to 360 degrees, it is located in Quadrant IV In the fourth quadrant, the values for cos are positive only. Find cos (-330) On the trig unit circle: cos (-330) = cos (30 - 360) = cos 30 Trig table gives -> cos 30 = (sqrt3)/2 cos (-330) = (sqrt3)/2 It seems to me that a 30-60 degree right triangle might be involved. Grade 12 Calculus continuous interval question. You can draw it. The teacher … #(theta)# #330° = 360°-30°# #tan 30° = 1/sqrt3# Do you know the better answer! Mathematics. ? cos(360 degrees - 30 degrees) = cos 360 * cos -30. #330°# is in the #4th# quadrant. Sine 330° Value in Radians / Degrees | Sine Values for 330° Use this simple sine calculator to calculate the sine value for 330° in radians / degrees. 4 years ago. 0 1. hudak. α . Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. Calculate Trig Function Values for 330° Degrees. See all questions in Trigonometric Functions of Any Angle. (c) square root 3 / 2. Negative Degrees to Radian. 0 1. I hope this helps! Remember that cos(a − b) = cos(a)cos(b) +sin(a)sin(b) and that 330º = 360º − 30º, so. … Solution: Using the formula, 330 x π/180 = 11π/6. Is 0 a positive or negative number? #cos(330º) = sqrt3/2#, 34426 views Another alternative form of Cos 30° is pi/6 or π/6 or Cos 33 (⅓) g b = 3[cos 230° + i sin 230°] ~ 1.9284 - 2.2981 i. c = 3[cos 350° + i sin 350°] ~ 2.9544 - 0.5209 i. 90 degree and 180 degree. Join. 1 Answers. Anonymous. Find the Exact Value sin(330 degrees ) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant . (d) - square root 2 / 2. Since cos(α) = b/c, from this definition it follows that the cosine of any angle is always less than or equal to one, and it can take negative values. I would say 330 is actually = -30 right? We know that sin0º is … Since 330° lies in Quadrant IV... cot(360 - 330) = 1/tan(30) = 1/(-1/√3) = -√3. So in short, we can say that measuring a triangle (specifically right-angled triangle) is trigonometry. We can show that 120 degrees can be represented in two angles, whose value can be taken from trigonometry table. How do you think about the answers? Find the exact value of cot 330 degree? Source(s): https://shrinkurl.im/baDi2. Lv 7. Try a smart search to find answers to similar questions. Tan 330° Value in Radians / Degrees | Tan Values for 330° Use this simple tan calculator to calculate the tan value for 330° in radians / degrees. 9x^2-6x+1 whats the factoring perfect square trinomials. Asked By adminstaff @ 03/01/2020 11:43 PM. Cos(330 degrees) *No calculator Homework Equations (a^2)+(b^2)=(c^2) Cos=(delta x / hypotenuse) The Attempt at a Solution Hi guys, so today at school, the teacher was doing a problem which stated to solve the cosine of 330 degrees. The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360°. Multiply the given value of the angle in degrees by π/180. Select degrees … Online calculator to get the trig function values for standard degree and radian values. We know that #sin0º# is 0, and that #cos0º = 1# so, #cos(330º) = 1*cos(30º) + 0*sin(30º)# The Organic Chemistry Tutor 403,911 views. The Trignometric Table of sin, cos, tan, cosec, sec, cot is useful to learn the common angles of trigonometrical ratios from 0° to 360°.

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