Sin 30=1/2 and cos 30=sqrt 3/2

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Sin 30=1/2 and cos 30=sqrt 3/2

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sin 30=1/2 and cos 30=sqrt 3/2

Can someone help me? Thanks in advance! As for tan15, the solution above seems to have covered that very well so I don't think I need to expand. Sign up to join this community. The best answers are voted up and rise to the top.

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Write the complex number #3(cos210 + i sin210)# in rectangular form?

Improve this question. Chahine S. Chahine 1, 2 2 gold badges 11 11 silver badges 23 23 bronze badges. Chahine Jul 9 '14 at Active Oldest Votes. Improve this answer. Surb Surb Makes much more sense, appreciate it.

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Log in. For a better experience, please enable JavaScript in your browser before proceeding. Working with exact values of sin,cos and tan. Thread starter Probability Start date Aug 7, Probability Full Member. Joined Jan 26, Messages I would appreciate any help on understanding how to convert from radian measure to exact values please! DrPhil Senior Member. Joined Nov 29, Messages 1, Probability said:.

Subhotosh Khan Super Moderator Staff member. Joined Jun 18, Messages 23, I remember it through equilateral triangle ABC of side 2x. Suppose the triangle has base BC and the opposite vertex is then A. Thank you for all replies I really have learned a lot about something I knew very little about this morning. So to conclude, this is what I have learned. Using circle geometry and triangles in conjunction with Pythagoras Theorem.

Taking an equilateral triangle and including a bisector I have learned where square root of 3 comes from. Using Pythagoras Theorem and trigonometric ratios this is how I understand the conversion now to exact form.

Thanks again. Last edited: Aug 8, You must log in or register to reply here.When an instructor asks for an 'exact value', they are trying to keep you from using a calculator value. If you just plugged it into your calculator, you would get something close to.

what does "exact value" mean in trigonometry?

But, the number is irrational and you could never write down the exact value. There are some pretty standard angles that students are expected to know the trig functions of.

These include:. So, when an instructor asks for the exact value, they are asking for it in terms of these guys instead of just reading the answer off of your calculator. It usually means as a fraction or non-repeating, finite, decimal. An example of a non-repeating infinite decimal is pi 3.

If the problem doesn't give you numbers, try cancelling. It would mean the non-calculator answer. So your answer should be one of or combination of the common trig values that you learn. This means that you may have square root of 2 or 3 in your answer or pi. Liz L. Answer Save. MsMath Lv 7.

It means if the answer is sqrt 3then write the answer as sqrt 3 and not 1. These include: 0, 30, 45, 60, 90, The number before you do any thing to it so the exact value of -2 is 2. How do you think about the answers? You can sign in to vote the answer. Louise Lv 5.Exact values of sin x and cos xwhere x is in degrees and is a multiple of 3. The sine and cosine values for all angle measurements in multiples of 3 degrees can be represented in terms of square-root radicals, and the four common operations of arithmetic.

These values can be determined geometrically using three "strategic" triangles. This forms a right triangle with two of the square's sides being the legs of the triangle, and the drawn diagonal being the hypotenuse. Let the hypotenuse be 1 unit in length.

From the isosceles triangle, let the two long sides be xand the short side 1. Since different identities may be used, the exact representations may "look" different than other possible representations, but can be shown to be identical in value. All radicals were simplified so that none contained any quotients within them.

All of these values are algebraicmeaning they are the root of some polynomial with integer coefficients. Given an algebraic number in the form of radicals and arithmetic operations, one can build a polynomial for which the given number is a root.This website uses cookies to ensure you get the best experience.

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Matrices Vectors. Chemical Reactions Chemical Properties. Trigonometric Equation Calculator Solve trigonometric equations step-by-step. Correct Answer :. Let's Try Again :. Try to further simplify. To prove a trigonometric identity you have to show that one side of the equation can be transformed into the other Sign In Sign in with Office Sign in with Facebook. Join million happy users! Sign Up free of charge:. Join with Office Join with Facebook.

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sin 30=1/2 and cos 30=sqrt 3/2

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sin 30=1/2 and cos 30=sqrt 3/2

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