Find the point x y on the unit circle that corresponds to th

Find the point (x, y) on the unit circle that corresponds to the real number t. t = pi/3 (x, y) = Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places, (Be sure the calculator is in the correct mode.) cot = 0.7 Evaluate (if possible) the sine, cosine, and tangent at the real number. (If an answer is undefined, enter UNDEFINED.)

Solution

On the unit circle, the point (x,y) is written as ( cos t, sin t)

Since t=pi/3, the answer should be ( cos pi/3, sin pi/3).

cos pi/3 = 1/2

sin pi/3 = sqrt3 /2

So, (x,y) = ( 1/2 , sqrt3 /2) (That\'s the answer for question #1)

Question #2 : We don\'t have cot key on calculator. So, we will find tan(-0.7) and take reciprocal of that. Make sure your calculator is in radian mode.

tan (-0.7) = -0.8423

Now, 1 over -0.8423 = -1.1872 [we took reciprocal]

So, cot (-0.7) = -1.1872 (Answer)