Cot Pi / 6, 5 Pi / 6, 7 Pi / 6, Or 11 Pi / 6

E𝑥ample, 10 Prove that 3sin π/6 sec π/3 - 4 sin 5π/6 cot π/4 = 1 Taking L.H.S. 3sin π/6 sec π/3 - 4 sin 5π/6 cot π/4 Putting π = 180° = 3sin 180/6 sec 180/3 - 4 sin (5 × 180" " )/6 cot 180/4 = 3sin 30° sec 60° - 4 sin 150° cot 45° Solving, 3 sin 30° sec 60° - 4sin 150°You can put this solution on YOUR website! csc^2 pi/6 - cot^2 pi/6.. csc π/6=2 csc^2 π/6=4.. cot π/6=√3 cot^2 π/6=3.. csc^2 π/6 - cot^2 π/6=4-3=1Free trigonometry calculator - calculate trignometric equations, prove identities and evaluate functions step-by-stepThe other four trigonometric functions (tan, cot, sec, csc) can be defined as quotients and reciprocals of sin and cos, except where zero occurs in the denominator. It can be proved, for real arguments, that these definitions coincide with elementary geometric definitions if the argument is regarded as an angle given in radians.cot 2 pi/6 + cosec 5pi/6 + 3tan 2 pi/6 = 6. trigonometric functions; cbse; class-11; Share It On Facebook Twitter Email. 1 Answer +3 votes . answered Sep 26, 2018 by AbhishekAnand (86.9k points) selected Sep 26, 2018 by Vikash Kumar . Best answer. L.H.S. = R.H.S. ← Prev

SOLUTION: csc^2 pi/6 - cot^2 pi/6

Ex 3.3, 3 Prove that cot2 π/6 + cosec 5π/6 + 3 tan2 π/6 = 6 Taking L.H.S. cot2 π/6 + cosec 5π/6 + 3 tan2 π/6 Putting π = 180° = cot2(180/6) + cosec((5 ×180)/6) + 3 tan2(180/6) = cot2 30° + cosec (150°) + 3tan2 30° Here, tan 30° = 1/√3 cot 30° = 1/tan⁡〖30°〗 = 1/(1/√3cot(π +6π 6) = cot(π+ π 6) = cot(π 6) = √3 Another way is that cot(π + π 6) = 1 tan(π + π 6) Use the tan(a + b) = tana + tanb 1 − (tana)(tanb)Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. cot(π 6) cot (π 6) The exact value of cot(π 6) cot (π 6) is √3 3. √3 3cot(pi/6) Enter angle in degrees or radians:-- Enter angle or number for inverse functions. Enter PI for π Calculate cot(π/6) Determine quadrant: Since our angle is between 0 and π/2 radians, it is located in Quadrant I In the first quadrant, the values for sin, cos and tan are positive. Determine angle type:

cot - Trigonometry Calculator - Symbolab

cot (− π 6) cot (- π 6) Add full rotations of 2π 2 π until the angle is between 0 0 and 2π 2 π. cot(11π 6) cot (11 π 6) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.Calculate sec(π/6) Determine quadrant: Since our angle is between 0 and π/2 radians, it is located in Quadrant I In the first quadrant, the values for sin, cos and tan are positive.Using Reference Angles to Evaluate Tangent, Secant, Cosecant, and Cotangent. We can evaluate trigonometric functions of angles outside the first quadrant using reference angles as we have already done with the sine and cosine functions. The procedure is the same: Find the reference angle formed by the terminal side of the given angle with the horizontal axis.Study free Math flashcards and improve your grades. Matching game, word search puzzle, and hangman also available.To calculate tangent online of `pi/6`, enter tan(`pi/6`), after calculation, the result `sqrt(3)/3` is returned. Note that the tangent function is able to recognize some special angles and make the calculations with special associated values in exact form. Calculate the tangent of an angle in degrees. To calculate the

cot(pi/6)

Enter angle in levels or radians:

Calculate cot(π/6)

Determine quadrant:

Since our attitude is between 0 and π/2 radians, it is situated in Quadrant IIn the primary quadrant, the values for sin, cos and tan are positive.

Determine perspective type:

Zero is an acute perspective since it's less than 90°Cot(θ)t = 1 Tan(θ)cot(π/6) = 1 Tan(π/6)cot(π/6) = 1 √3/3cot(π/6) = √3Important Angle Summary0°001001030°π/61/2√3/2√3/322√3/3√345°π/4√2/2√2/21√2√2160°π/3√3/21/2√32√3/32√3/390°π/210N/A10N/A120°2π/3√3/2-1/2-√32√3/3-2-√3/3135°3π/4√2/2-√2/2-1√2-√2-1150°5π/61/2-√3/2-√3/32-2√3/3-√3180°π0-100-1N/A210°7π/6-1/2-√3/2√3/3-2-2√3/3√3225°5π/4-√2/2-√2/21-√2-√21240°4π/3-√3/2-1/2√3-2√3/3-2√3/3270°3π/2-10N/A-10N/A300°5π/3-√3/21/2-√3-2√3/32-√3/3315°7π/4-√2/2√2/2-1-√2√2-1330°11π/6-1/2√3/2-√3/3-22√3/3-√3