Express the results in degrees.

Check out 39 similar 2d geometry calculators , What is a coterminal angle? and then use the "auxiliary angle" method again. [Note that one solution of this is obtained when sin x = 0 and cos x = 1, i.e.

Since there are an infinite number of coterminal angles, this calculator finds the one whose size is between 0 and 360 degrees or between 0 and 2π depending on the unit of the given angle. Answer to: Find all the angles between 0^o \text{ and } 360^o which will satisfy the equation: 5tan^2 y +5 tan y = 2 sec^2 y. x=[cos^-1(.8)+40]/2.

,$\color{blue}{ \text{ 2r(3/5) }= 2 \sqrt{\frac{3}{5}}} $. A calculator to find the exact value of a coterminal angle to a given trigonometric angle.

To find the coterminal angles to your given angle, you need to add or subtract a multiple of 360° (or 2π if you're working in radians). Find the absolute and relative errors in this measurement. Coterminal angles definition, How to find coterminal angles? Integrate using substitution. Solve $ 2\sin \left( x \right) + \sqrt{2}= 0 ~~ \text{for} ~~ -180^\circ \leq x \leq 180^\circ $. For example, if α = 1400°, then the coterminal angle in the [0,360°) range is 320° - which is already one example of a positive coterminal angle. Please try again using a different payment method. The calculator tells you the angle is 76.389° but adding 180° will also get you the same tangent. {/eq}, {eq}\displaystyle \sec ^2 a\ =\ 1\ +\ \tan ^2 a 2x-40=cos^-1(.8) 2x=cos^-1(.8)+40. a) cosec(2x+60deg.)=4. {/eq} which will satisfy the equation: {eq}5tan^2 y +5 tan y = 2 sec^2 y. Find an answer to your question Find all the angles between 0° and 360° which satisfy the equation 3cosx=8tanx Graphs of Functions, Equations, and Algebra, The Applications of Mathematics Explain your answer: the sum of two consecutive odd numbers is always divisible by 11? Solution: We must solve the trigonometric equation 4 sin(θ) + 3 cos(θ + 40°) = 2. x=[cos^-1(.8)+40]/2. Welcome to MathPortal. Why is my calculator giving me a huge number for sin(3.140625)? 5\tan^2 y\ +\ 5\tan y\ &=\ 2\sec^2 y\\ It will take the number .8 and turn it into an angle. Still have questions? In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … 5\tan^2 y\ +\ 5\tan y\ &=\ 2(1 +\ \tan^2 y)\\ Find all the angles between {eq}0^o \text{ and } 360^o We can use the sum of angles identity, (6b) to break apart the two angles, θ and 40°, in the cos. So if β and α are coterminal, then their sines, cosines and tangents are all equal.

Since there are an infinite number of coterminal angles, this calculator finds the one whose size is between 0 and 360 degrees or between 0 and 2π depending on the unit of the given angle. You can put this solution on YOUR website! and then use the "auxiliary angle" method again. First, divide one number by the other, rounding down (towards the floor): Then, multiply the divisor by the obtained number (called the quotient): Subtract this number from your initial number. So the coterminal angles formula, β = α ± 360 * k, will look like this for our negative angle example: The same works for the [0,2π) range, all you need to change is the divisor - instead of 360, use 2π. EDIT: NO IT ISN'T!!! © copyright 2003-2020 Study.com.

These are the 4 solutions between 0 and 360. b) tan^2y = sec^2y - 1. so you get a quadratic in sec y. Now, check the results with our coterminal angle calculator - it displays the coterminal angle between 0 and 360° (or 0 and 2π), as well as some exemplary positive and negative coterminal angles. I multiplied both sides by sin x, so sin x = 0 is not a solution. The line tangent to the... 45-45-90 Triangle: Theorem, Rules & Formula, Types of Angles: Vertical, Corresponding, Alternate Interior & Others, 30-60-90 Triangle: Theorem, Properties & Formula, Axis of Symmetry of a Parabola: Equation & Vertex, What is a Scale Factor? x ? Thus cosy = 1/2 is the only solution since cos can never exceed 1. Remember that they are not the same thing - the reference angle is the angle between the terminal side of the angle and the x-axis, and it's always in the range of [0, 90] (or [0, π/2]).



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