find the exact value of tan pi 3 in simplest form with a rational denominator

find the exact value of tan pi 3 in simplest form with a rational denominator In this case the coordinates of that point are 1 2 3 2 We want to find the tangent of 3 which is the y coordinate divided by the x coordinate So tan 3 3 2 1 2 3

Free trigonometric function calculator evaluate trigonometric functions step by step The value of tan pi 3 can be calculated by constructing an angle of 3 radians with the x axis and then finding the coordinates of the corresponding point 0 5 0 866 on the unit

find the exact value of tan pi 3 in simplest form with a rational denominator

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find the exact value of tan pi 3 in simplest form with a rational denominator
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Answer link The value of tan pi 3 is sqrt3 We can use this fundamental trigonometric identity tantheta sintheta costheta Here s a reference triangle with our angletheta sin x sin frac x 2 0 0 le x le 2 pi cos x sin x 0 sin 4 theta frac sqrt 3 2 0 forall 0 le theta

Tan 3 3 2 0 1 2 0 3 This idea of slope y x is analogous to tangent because the sine values correlate to the y values of the ordered pair and cosine with x X 3lim x2 2x 3x2 9 Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra

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Answer link This is doable without using any complicated identities pi 3 radians 60 o tan 60 o sin 60 o cos 60 o sqrt 3 2 1 2 cancel 2 sqrt 3 cancel 2 sqrt 1 Evaluate the following The angle is not commonly found as an angle to memorize the sine and cosine of on the unit circle 2 Write the expression in terms of common angles

So 3 is 60 degrees 3 180 which is how he estimates about where 3 is He then uses trig functions to get the points By drawing a right triangle the hypotenuse is 1 Math Precalculus questions and answers Find the exact value of tan pi 3 in simplest form with a rational denominator This problem has been solved You ll get

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find the exact value of tan pi 3 in simplest form with a rational denominator - Answer link The value of tan pi 3 is sqrt3 We can use this fundamental trigonometric identity tantheta sintheta costheta Here s a reference triangle with our angletheta