Find two values of theta that satisfy the equation calculator Question: Find two values of thetaθ , 0 less than or equals theta less than 2 pi comma0≤θ<2π, that satisfy the following equation. Do not use a calculator. Question 683040: use a calculator to approximate two values of theta ( 0 less than or equal to theta less than 2pi ) that satisfy the equation. Since sinx is negative, we are looking for angles in the third and fourth quadrants where the sine is negative. 34 shown here at -70. 2 sin theta = cos theta Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. x1 = pi / 3 and a second one in the fourth quadrant (see the two solutions in unit circle in figure below). This gives us the selected option 2. Give values of θ in radians )≤θ≤ (2π. \ $\csc \theta=-2$. \ $$ \cot \theta=-1 $$. $$ The other location can be described by the opposite of that value. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. 123°. Detailed step by step solutions to your Trigonometric Equations problems with our math solver and online calculator. Use degree measure. Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. If you want to find the values of sine, cosine, tangent, and their reciprocal functions, use the first part of the calculator. It’s a great way to check your work and better understand why those particular angle values make the equation true. sin(θ) = − 23 a) θ = 34π and θ = 35π Theta is a variable usually associated with angles. Round approximate answers to the nearest tenth of a degree. Trigonometric Equations Calculator online with solution and steps. Use your graphing calculator to verify the solution graphically. Explaining why there are two answers Sep 19, 2017 · To find all angles between 0 and 2π that satisfy the condition sinx = √2/2, we need to consider the unit circle and the values of sinx. $$ \tan \theta = - \sqrt { 3 } $$. Use integers or fractions for any numbers in the expression. Find two values of θ (0 ≤ θ < 360°) that satisfy sinθ = 0. 6 I find all the solutions from 0 to 360 degrees using a calculator. Find two values of θ, where 0 ≤ θ <2π, that satisfy the following equation: tan θ = − 33 θ = (Simplify your answer. Any help is greatly appreciated. In this case, with cosine positive and equal to 1 / 2, there are two values: one in the first quadrant of the unit circle. ) When an angle is unknown but the value of one of the reciprocal trigonometric functions of the angle is known, we can evaluate the value of the angle by first converting the given reciprocal Apr 11, 2024 · The values of θ that satisfy the equation 2sin2θ = −sinθ are 0,π, 67π, 611π. Nov 12, 2013 · When an angle is unknown but the value of one of the reciprocal trigonometric functions of the angle is known, we can evaluate the value of the angle by first converting the given reciprocal Apr 10, 2025 · Free Mathematics solutions and answers Community Answer Find two values of theta , 0 ≤ θ < 2 π comma that satisfy the following equation. sin x=-√2/2 x=5π/4 and 7π/4 (reference angle of π/4 in quadrants III and IV where sin<0) Nov 21, 2024 · Find two values of θ, where 0 ≤ θ <2π, that satisfy the following equation: cosθ = − 23 θ = (Simplify your answer. ) Nov 16, 2021 · Rewrite equation (5cos x +4)sinx = 0 sin x = 0 at 0, 180 and cosx = -4/5 (take the inverse cos (careful to be in degrees) The calculator answer will be one and 360 - the answer will be another. Find step-by-step Calculus solutions and your answer to the following textbook question: Find all values of $\theta$ (in radians) that satisfy the given equation. The sine function is negative in the third and fourth quadrants of the unit circle. Oct 12, 2019 · To find one of the angles, plug into your calculator cos -1 (0. This shows where the two sides of the equation intersect, the solutions you just found, now visualized. Question Use a calculator to approximate two values of θ (to the nearest degree) that satisfy the equation. 2249)\approx1. Knowing the unit circle will be especially helpful for these types Nov 22, 2024 · The two values of θ that satisfy the equation cosθ = − 23 in the interval 0 ≤ θ <2π are 65π and 67π. Mar 19, 2014 · Find two values of theta that satisfy the equation. 6 rating 4. Type an exact answer, using π as needed. The calculator tells you the angle is 76. Feb 18, 2012 · 4 There are two places on the unit circle corresponding to values of $\theta$ satisfy your equation: The inverse cosine (or arccosine) function will give us the one that's in the range $ [0,\pi]$: $$\arccos (0. Give values of θ in radians (0 ≤ θ ≤ 2 π). 389° but adding 180° will also get you the same tangent. x2 = 2*pi - pi / 3 = 5*pi Question: Find all values of theta that satisfy the equation over the interval [0, 2pi]. sinθ=322 Question: 9. To find two values of θ that satisfy the equation tanθ = − 33, we first need to understand where the tangent function is negative. (Enter your answers as a comma-separated list. Type in any equation to get the solution, steps and graph When an angle is unknown but the value of one of the reciprocal trigonometric functions of the angle is known, we can evaluate the value of the angle by first converting the given reciprocal That is the key for solving problems like this where you have the value of a trig function and need to take it back to an angle. Free math problem solver answers your trigonometry homework questions with step-by-step explanations. Find two values of θ that satisfy the equation below. round the value to three decimal places. ) 5sin2θ−6cos2θ= 0 5 sin 2 θ 6 cos 2 θ = 0 I used the following Find step-by-step Calculus solutions and the answer to the textbook question Find all values of $\theta$ (in radians) that satisfy the given equation. Sep 25, 2023 · To find the values of theta that satisfy sec theta = 5. Solving cosine, tangent, and sine. Give your answers in radians (0 < theta < or equal to 2 pi) a. Use numbers in the expression. ) May 15, 2015 · Need help with a math problem. The tangent function is negative in the second and fourth quadrants of the unit circle. Mar 9, 2025 · Find two values of θ, 0 ≤ θ < 2π, that satisfy the following equation: cosθ = − 23 (Simplify your answer. When you read "theta" in a mathematics or physics book, assume that you are dealing with an angle — any angle — without a specified value. 3662 Show transcript Asked in United States Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. . 123° aka 289. The equation can be factored to find solutions effectively. 1258, we can use the inverse function of secant, which is cosine. Find two values of theta, in radians, 0 < = theta < 2pi that satisfy each equation. asked • 12/21/20 Find two values of theta that satisfy the equation. That's the angle shown here: But there is a second angle with the cos of 0. \ $$ \sin \theta=-1 / \sqrt {2} $$. sin theta = sin (-2/3 pi) theta = rad (smaller value) theta = rad (larger value) Answer to: Find all values of theta in the interval [0 degrees, 360 degrees) that satisfy the equation. We know that sec theta is equal to 1 divided by cosine theta. Given your answer in degrees (0≤ theta≤360) and radians (0≤ theta≤2π) Apr 4, 2024 · Find two values of θ that satisfy the equation below. Question: Find two values of θ that satisfy the equation below. 34396. Give values of θ in radians (0≤θ≤2π). Checking answers with the calculator when we are done. 34) and you will get 70. Find all degree solutions in the interval 0°≤ θ <360° 0 ° ≤ θ <360 °. tangent theta equals negative StartFraction StartRoot 3 EndRoot Over 3 EndFraction Find step-by-step Calculus solutions and your answer to the following textbook question: Find all values of $\theta$ (in radians) that satisfy the given equation. \ $$ \cos \theta=\dfrac {1} {2} $$. 877° The same holds true for tan 4. Do not use a calculator. sin theta = - sqrt ( 2 )/ 2 b. sinθ=322 Find step-by-step Calculus solutions and your answer to the following textbook question: Find all values of $\theta$ (in radians) that satisfy the given equation. This trigonometry calculator will help you in two popular cases when trigonometry is needed. Use a comma to separate answers as needed. sin θ = -√ (3/2) Community Answer This answer has a 4. You can put this solution on YOUR website! uestion:find two values of theta that saitisfy each of the equations below. sinθ=-322a) θ=π3,θ=5π3b) θ=π4,θ=πc) θ=4π3,θ=5π3 solve for cos (x) cos x = 1/2 solve for x by finding all values in the interval [0 , 2pi) that satisfy the above trigonometric equation. Do not use a calculator. If rounding is necessary, round to the nearest tenth of a degree. Find all values of θ in the interval of [0 ∘, 360 ∘) that satisfy each equation. (a) tan (theta) = root 3 (b) cos (theta) = -1/2 Show transcribed image text Here’s the best way to solve it. Apr 30, 2024 · To solve for two values of θ that satisfy sinθ = − 23 within the range 0 ≤ θ <2π, we need to understand where the sine function takes negative values. 13. sec theta = - 2 sqrt ( 3 )/ 3 ** use x in place of theta 0 < x ≤ 2π a. (0≤ θ <360°) sec θ =-2. Dec 21, 2020 · Wren B. 2568. sin 2 x + 9 = 6 sin x Math Precalculus Precalculus questions and answers Find two values of θ that satisfy the equation below. Are you searching for the missing side or angle in a right triangle using trigonometry? Our tool is also a safe bet! Type 2-3 given values in the second part of the calculator Find step-by-step Precalculus solutions and your answer to the following textbook question: Find two values of $$ \theta , 0 \leq \theta < 2 \pi $$ that satisfy each equation. ph9ul 04 rdt pi7 2ck zajyb cid le bhmy xd