What is the exact value of sec 120 degrees?

What is the exact value of sec 120 degrees?

-2
The value of Sec 120 degrees is -2. Sec 120 degrees in radians is written as sec (120° × π/180°), i.e., sec (2π/3) or sec (2.094395. . .).

What quadrant does 120 degrees lie?

The angle 120∘ is in the second quadrant, and its related angle is 60∘.

How do you find the trigonometric ratio of 120?

120 degrees

  1. sin 120° = sin (1 × 90° + 30°) = cos 30° = √3/2.
  2. cos 120° = cos (1 × 90° + 30°) = – sin 30° = – 1/2.
  3. tan 120° = tan (1 × 90° + 30°) = – cot 30° = – √3.
  4. csc 120° = csc (1 × 90° + 30°) = sec 30° = 2/√3.
  5. sec 120° = sec (1 × 90° + 30°) = – csc 30° = – 2.
  6. cot 120° = cot (1 × 90° + 30°) = – tan 30° = – 1/√3.

What is the value of tan 120 degrees in fraction?

FAQs on Tan 120 Degrees Tan 120 degrees is the value of tangent trigonometric function for an angle equal to 120 degrees. The value of tan 120° is -√3 or -1.7321 (approx).

How do you solve sec150?

The value of sec 150° is equal to the reciprocal of the x-coordinate(-0.866). ∴ sec 150° = -1.1547.

What is the value of tan 120 degree in fraction?

What is the value of cos 120 in fraction?


Value of Cos 120 is -½.

How do you calculate quadrants?

The first quadrant is defined by positive x values and positive y values. The second quadrant is defined by negative x values and positive y values. The third quadrant is defined by negative x values and negative y values. The fourth quadrant is defined by positive x values and negative y values.

What is the trigonometric function of 120?

Now we know that sin(A+B)=sinAcosB+cosAsinB. Hence we will use the formula to expand sin(90∘+30∘) . Hence the value of sin(120∘)=√32 .

What are the six trigonometric functions of 120?

1 Answer

  • sin(120o)=√32.
  • cos(120o)=−12.
  • tan(120o)=−√3.
  • csc(120o)=2√3.
  • sec(120o)=−2.
  • cot(120o)=−1√3.

What is the trigonometric ratio of Sec 150 degree?

-2/√3
Sec 150 degrees is the value of secant trigonometric function for an angle equal to 150 degrees. The value of sec 150° is -2/√3 or -1.1547 (approx).

What is value of sin180?

The exact value of sin 180 is zero. Sine is one of the primary trigonometric functions which helps in determining the angle or sides of a right-angled triangle. It is also called trigonometric ratio.

What is the reference angle of COS 120?

Cos 120 degree is equal to minus half which can be written as (- ½ ) or (-0.5).

How do you read a quadrant chart?

The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.

What is the value of Sec-120°?

⇒ sec 120° = sec 480° = sec 840°, and so on. Note: Since, secant is an even function, the value of sec (-120°) = sec (120°). The secant function is negative in the 2nd quadrant.

How to find the exact value of SEC 60 sec 60?

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the second quadrant. The exact value of sec(60) sec ( 60) is 2 2. Multiply −1 – 1 by 2 2.

What is sec 120 degrees in radians?

Sec 120 degrees in radians is written as sec (120° × π/180°), i.e., sec (2π/3) or sec (2.094395. . .). In this article, we will discuss the methods to find the value of sec 120 degrees with examples. Sec 120° in radians: sec (2π/3) or sec (2.0943951 . . .) What is the Value of Sec 120 Degrees? The value of sec 120 degrees is -2.