csc5π6=2.
What is the exact value of csc 17pi 6?
So we know that csc(17π6)=csc(5π6) . csc(x)=1sin(x) and we know that sin(5π6)=12 because it’s from the Unit Circle. So: csc(17π6)=csc(5π6)=1sin(5π6)=112=2 .
What is the exact value of sin 5pi 6?
The exact value of sin(π6) sin ( π 6 ) is 12 .
What is the value of cosec Pi by 6?
What is Cosec pi/6? Cosec pi/6 is the value of cosecant trigonometric function for an angle equal to π/6. The value of cosec pi/6 is 2.
What is the cot of 5pi 6?
Cot 5pi/6 is the value of cotangent trigonometric function for an angle equal to 5π/6 radians. The value of cot 5pi/6 is -√3 or -1.7321 (approx).
How do you solve tan 5pi 3?
What is the Value of Tan 5pi/3? The value of tan 5pi/3 in decimal is -1.732050807. . .. Tan 5pi/3 can also be expressed using the equivalent of the given angle (5pi/3) in degrees (300°). ∴ tan 5pi/3 = tan 5π/3 = tan(300°) = -√3 or -1.7320508. . .
How is csc value calculated?
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The exact value of csc(60) is 2√3 . Multiply 2√3 by √3√3 .
Are 5pi 6 and 17pi 6 Coterminal?
Trigonometry Examples
The resulting angle of 5π6 5 π 6 is positive, less than 2π 2 π , and coterminal with 17π6 17 π 6 .
How do you find sin 5pi 6 without a calculator?
The value of sin 5pi/6 can be calculated by constructing an angle of 5π/6 radians with the x-axis, and then finding the coordinates of the corresponding point (-0.866, 0.5) on the unit circle. The value of sin 5pi/6 is equal to the y-coordinate (0.5). ∴ sin 5pi/6 = 0.5.
What is 5pi 6 radians converted to degrees?
⇒5π6radian=150 degree.
Where is negative 5pi 6 on the unit circle?
Explanation: On the unit circle, the arc −5π6 lies between the arcs (−π2)and−π .
How do you write cosecant?
In a right-angled triangle, cosecant is equal to the ratio of the hypotenuse and perpendicular. Since it is the reciprocal of sine, we write it as csc x = 1 / sin x.
What is SEC cosec cot?
Secant (sec) is the reciprocal of cosine (cos) Cosecant (cosec) is the reciprocal of sin. Cotangent (cot) is the reciprocal of tan.
How do you find cot 5?
Cot 5 degrees can also be expressed using the equivalent of the given angle (5 degrees) in radians (0.08726 . . .) ⇒ 5 degrees = 5° × (π/180°) rad = π/36 or 0.0872 . . . Explanation: For cot 5 degrees, the angle 5° lies between 0° and 90° (First Quadrant).